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Proportion Survey



Statistics project

This project is on the analysis of a population proportion. You will obtain data by performing a random survey on a targeted population and two disjoint sub-populations. The project involves construction of confidence intervals and hypothesis tests for a population proportion p and for the difference in proportions p 1 - p 2 among the sub-populations.

Formulating the Problem

We wish to study a specific population and analyze the proportion of this population that responds favorably to a certain question.

1. Think of a question that has only two responses. For example, "Do you favor capital punishment?" or "Are you a smoker or non-smoker?" State your question and which response you want to measure. This will be called a favorable response.

2. Specify a population W that you wish to target for your survey. For example, "Students at my university" or "Adults age 21 or older in this city."

3. Break your population down into two disjoint sub-populations W 1 and W 2 . For example, W 1 = female and W 2 = male, or W 1 = married and W 2 = single.

4. If possible specify the proportionate sizes of the sub-populations. For example, W 1 is 60% of the population and W 2 is 40%.

5. If possible, give the size N of your population W and the sizes N 1 and N 2 of the sub-populations W 1 and W 2 . Or if appropriate, simply specify that these are "large" populations that do not require a finite population correction factor.

Note: If you are doing this project at the same time as Project 1: Survey on Population Mean, then you should use the same population W and sub-populations W 1 and W 2 for both projects.

Before conducting the survey, we wish to make some initial estimates of the proportions. We shall use these estimates later for our hypothesis tests.

1. Give an estimate P as to what proportion of the entire population W you think will respond favorably to your question. Give reasons for your estimate.

2. Give estimates of the proportions p 1 and p 2 of the sub-populations W 1 and W 2 that you think will respond favorably. Again, give reasons for your estimates. The difference of your estimates then becomes an estimate for the difference in proportions p 1 - p 2 .

3. If applicable, how would you respond to your question? Do you think that you would be with the majority or minority of the population with your response?

Determining Sample Size

1. For your proportion, choose a desired margin of error e such as 0.03 or 0.035.

2. For each sub-population W 1 and W 2 , find the sample sizes n 1 and n 2 required to obtain 95% confidence intervals that have no larger than your desired margin of error e.

Conducting the Survey

Next, you must conduct a random survey on the targeted population to obtain sample measurements. For scientific purposes, there usually should be at least n 1 respondents from sub-population W 1 and at least n 2 respondents from sub-population W 2 . However, for instructional purposes here, you may limit yourself to a total of 100 measurements from the entire population with at least 30 from each sub-population.

But you should at least use sample sizes that are in proportion to the sizes of the sub-populations. For example, if W 1 is 60% of the population, then use n 1 = 60 and n 2 = 40, or n 1 = 45 and n 2 = 30, etc.

1. Take a random survey of people specifically within your target population W and gather their responses. Be sure to determine to which sub-population each respondent belongs. State how the survey was conducted and how randomness was insured.

2. List the total number of people surveyed n and the number m of those responding favorably. Compute the sample proportion m/n. How does your sample proportion compare with your estimate P?

3. For the two sub-populations W 1 and W 2 , state the number of respondents n 1 and n 2 and the numbers m 1 and m 2 of those responding favorably. Compute the respective sample proportions m 1 /n 1 and m 2 /n 2 . Do these values compare favorably with your estimates?

4. How do m 1 /n 1 and m 2 /n 2 compare with m/n? Based on this data, does it seem that a person is more or less likely to respond favorably depending on sub-population?

5. Do you think it is possible for the true sub-population proportions p 1 and p 2 to be equal; that is, could the favorable response be independent of sub-population?

We next wish to display our data graphically. One way to do this is with a Block Diagram which shows the data represented in set notation. To set up the diagram, let A = those responding favorably, A' = those responding unfavorably, B = sub-population W 1 , and B' = sub-population W 2 .

1. Draw two Block Diagrams, the first of which shows the number of people in each of the four categories A & B, A & B', A' & B, and A' & B', and the second of which shows the percentages of persons in each of these four subsets.

Note that A & B is merely the set of favorable responses from W 1 and A & B' is the set of favorable responses from W 2 .

2. Compute the conditional probabilities P(B | A) and P(B' | A) and explain what they mean.

https://www.the-essays.com/abortion-essay wish to construct confidence intervals for the true population proportion p, the true sub-population proportions p 1 and p 2 , and the true difference in sub-population proportions p 1 - p 2 .

1. Use your data and the PCONFINT program to construct separate 95% confidence intervals for p, p 1 , and p 2 .

2. Do you feel that the margins of error are small enough to provide useful information and to make the confidence intervals meaningful statistics?

3. Is it now possible for p 1 and p 2 to be equal; that is, is there any overlap in their confidence intervals? Could the favorable response be independent of sub-population?

4. Use the DIFPCI program to find a 95% confidence interval for the difference p 1 - p 2 . How does this interval help determine if the favorable response is independent of sub-population?

Lastly, we shall use the sample data to perfom hypothesis tests on the initial personal estimates that you made.

1. Let P denote your personal estimate for p. Choose an appropriate level of significance, then use your data and the PTEST program to test the following three hypotheses:

2. Now let P denote your personal estimate of the difference p 1 - p 2 . Choose an appropriate level of significance, then use your data and the DIFPTEST program to test the following three hypotheses:

3. At the 0.05 level of siginificance, test whether the favorable response is independent of sub-population. That is, test the hypothesis H o : p 1 - p 2 = 0.

Draw any conclusions or add any comments that you like.

For further study, you can also test various hypotheses about the proportions of your sub-populations.

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fashion topics that can be turned into a research

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Answers

- -Fashion trends go according to Social/Economic issues. (Ex. Rebellion--->Hippies, The Great Depression, etc.)

*****I didn't know how to word this topic. I remember learning in my Fashion Merchandising class at my college about how when the first designer logo (on clothing) it changed fashion forever. You can go into a marketing/business approach. how much $ designers add onto the price of the product when it has the logo/designer name on it, how much celebrities pay for their face/name to appear on the product, etc.https://www.pinterest.com/powerpoint_templates/business-powerpoint-templates/

-The image seen in Fashion Advertisements (models) has a negative effect on children and teens of today.

(Another way you could go is Peer Pressure in fashion).

-Is fashion important?

-Fashion Icons, for example CoCo Chanel, are still a huge influence in today's fashions.

-Couture Fashion Designers are the 'Celebrities' of the fashion world.

-Consumers' wants and needs are to wear good-looking clothes and attractive jewelry to enhance or maintain their standing in society.

Fashion topics that can be turned into a research paper?

I have to write a research paper that must be turned into a persuasive argument.

Any ideas. Must be a fashion topic. HELP PLEASE!

Additional Details

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Additional Details

If you believe your intellectual property has been infringed and would like to file a complaint, please see our Copyright/IP Policy

Additional Details

If you believe your intellectual property has been infringed and would like to file a complaint, please see our Copyright/IP Policy

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How to write an analytical essay on a short story

How to develop and write an analytic essay

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Explain how the work functions as a piece of rhetoric--how does the author attempt to convince his or her reader of something? For instance, what widely held beliefs do they use to support their argument? How do they appeal to emotions, logic…

Re-examine something that the text or most readers take for granted (that Thoreau’s book Walden represents his attempt to escape from society). Question this major premise and see where it takes you

Ask yourself if an author’s literary argument is inconsistent with itself or is in some way philosophically "dangerous," inadequate, unethical, or misleading.

Examine how characters are presented in a story. How do they help the main character to develop? Which characters are trustworthy? Which are not? Why are they presented this way?

What counts as evidence:

Structure: How the parts of the book or essay follow one another; how the parts are assembled to make a whole? Why does the author start where they start, end where they end? What is the logical progression of thought? How might that progression be intended to affect the reader What effect might this progression of ideas have on a generic reader or on a reader from the time period in which the work was written? Does the piece move from the general to the specific or vice versa?

If you could divide the book/essay into sections, units of meaning, what would those sections be? How are they related to each other? Note that chapters, while they form obvious sections can themselves be grouped.

Referring to the text: In writing analytic papers that address any kind of literature, it is necessary to refer to the text (the specific words on the page of the book) in order to support your argument. This means that you must quote and interpret passages that demonstrate or support your argument. Quotation is usually stronger than paraphrase. Remember also that your purpose in writing an essay is not merely to paraphrase or summarize (repeat) what the author has said, but to make an argument about how the make their point, or how they have said what they have said.

Language: includes the way an author phrases his or her sentences, the key metaphors used (it’s up to you to explain how these metaphors are used, why these metaphors are appropriate, effective, ineffective, or ambiguous). Is the way a sentence is phrased particularly revealing of the author’s meaning?

Practical Essay-writing Hints:

Please title your paper and make the title apt and enticing--I LOVE a good title. It puts me in a good mood before I start reading.

Be clear about whether you’re writing about a book, an essay (non-fiction, short prose), a story (short fiction) a poem, a novel (book-length fiction), an autobiography, a narrative (as in Captivity Narratives) etc. Walden is a book comprised of chapters. Each of these chapters could also be called an essay. Within these essays, Thoreau sometimes tells stories. The book itself is not a story, but closer to a narrative, which is non-fiction.

Always go through at least two drafts of you paper. Let your paper sit, preferably for 24 hours between drafts sometime during the process of your writing.

Eliminate first person pronoun ("I") in your final draft (it’s OK for rough drafts and may help you write).

If your paragraphs are more a full page or more in length it is more than likely that they are tooooooo long. Probably you have too many ideas "in the air" at once. Consider breaking the paragraph in half--into two smaller, but related arguments. Your reader needs a break, needs more structure in order to be able to follow your meaning.

If several of your paragraphs are exceedingly short (4-5 lines), it is likely that you are not developing your ideas thoroughly enough--that you are writing notes rather than analysis. Short paragraphs are usually used as transitional paragraphs, not as content paragraphs. (Short paragraphs can be used in the rhetorical devise of reversal where you lead your reader down a certain path (to show them one side of the argument, the one you are going to oppose) and then turn away from that argument to state the true argument of your paper.)

Remember to write directive (sometimes called "topic") sentences for your paragraphs. The first sentence of any paragraph should give your reader an idea of what the paragraph is going to say and how the paragraph will connect to the larger argument. It should have more to do with what you have to say about the materials than what the author him or herself has said.

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Fantasies what would you do to improve the English language

 Fantasies: what would you do to improve the English language

Fantasies: what would you do to improve the English language?

On holiday driving through the city at three in the morning you realize what life could be like. Gliding across junctions that are normally clogged up and impassable; rolling along sections of road in two minutes that would keep you half an hour in the morning rush hour; crossing the river you’ve scarcely noticed for years and enjoying moonlight sparkle on the water and the still swans floating majestically.

Holidays encourage fantasies of living your whole life in a perfect world without unpleasantness or difficulty of any kind. This is how life should be, one feels. And then the holidays end. The French have a word for this time of year, based not on the descent of leaves but on what we actually do: la rentree, the going back, the end of the holidays, back to school, back to work. Wouldn’t it be good if we had a word for it too? It’s a harmless fantasy—a word for everything.

Sixteen going on seventy

One of the most persistent fantasies I have for improving the English language is to do something about the teens. Not those beings who emerge from the dark just in time for mid-afternoon with moods like touch-paper. I’m thinking of our numbers, thirteen, fourteen, fifteen, and the rest, who sound so much like thirty, forty, fifty. Only last week I came upon a stranger just round the corner from the Dictionary offices, looking for number 40. The houses really did seem to run out at 37 and she was all but in tears. The address in her hand had been transcribed from a phone conversation. She phoned her friend again. He lived at one, four, as he should have said the first time.

So that’s two improvements to the English language. We think up our own word for la rentree, and some new words for the teens (not treize, quatorze, quinze). Another one would be to sort out once and for all the confusion over what di and bi mean. They mean something to do with two, but quite what, whether that’s multiplying by two or dividing, is often far from clear.

A distinction to di for?

During the middle of the nineteenth century dichloride (in the name of chemical compounds) changed from meaning half a chlorine atom, to meaning two. In 1831 Thomas Thomson, in his First Principles of Chemistry, called the molecule with one atom of chlorine and two of antimony, dichloride of antimony. By 1859, in the Proceedings of the Royal Society of London, Charles Wood’s dichloride of platinum contained two atoms of chlorine for every one platinum.

Chemists have sorted themselves out now and dichloride always means two chlorines, but the rest of us are not so clear. Take biweekly. Sometimes it means every two weeks, and sometimes it means twice a week. And it’s the same with bimonthly, and biyearly.

For example a few weeks ago, the Wilts and Gloucestershire Standard reported that ‘The mobile library..stops on a bi-weekly basis on Mondays at Marston Meysey Village Hall..with the next visit on Monday, August 13.’ Clearly every two weeks. And the British national newspaper, The Independent, had, ‘A number of great managers – starting with Jose Mourinho – might say the ordeal of the bi-weekly press call is somewhat reduced when you can spend at least some parts of the other five days reading that your only remaining challenge is to walk on water.’ That must be twice a week. With these examples you can tell what is meant, but mostly you can’t.

Bi: a bunch of flowers

There is a distinction between biannual (twice a year) and biennial (every two years) but, unsurprisingly, people do muddle them. Especially common is biannual plant, meaning a plant, (more commonly called a biennial) like foxglove or lupin, that takes two years after germinating before it flowers. Perhaps the confusion comes because everyone knows about annual plants, and biannual seems to continue a series. But then perennial, a plant that goes on for ever, is also widely used.

Fantasy is a chance to set logic aside. You will have your own linguistic fantasies, but, sadly, like mine, and like the idea of having the city roads to yourself every morning, that’s all they will remain. Until next summer.

The opinions and other information contained in OxfordWords blog posts and comments do not necessarily reflect the opinions or positions of Oxford University Press.

Robert Hughes

October 11 / 2012

Whose vs. who’s

Apostrophes often get people into trouble, so it’s no surprise that .

i wanna improve my English language plzzz help me my face book ID is ahmed mushtaq and the skype 1 is real.acadmy pllllz help me

Those bi words have always upset me. I like to think that nobody would use biweekly to mean once every two weeks, as fortnightly would suffice in that situation. I have avoided biannual, but I think I may now start using it and sharing the linguistic love by explaining its usage (along with biennial) when people ask for clarification. I will never use biyearly, though.

All good ideas. But, I would firstly, update the rules of spelling. Perhaps even reverting to the time when there were no rules and spelling was as creative as writing. Hmmm, elimination of all spelling rules; there’s an idea.

That is a terrible idea, in my opinion. Spelling should be as concrete as possible and only change after decades, or better yet after centuries of slow change and acceptance by the major dictionaries.

Teach the language correctly at school and din it into the heads of the youth of today that there is absolutely no substitute for correctness.

“… numbers, thirteen,fourteen, fifteen, and the rest… fifty.”

Yes – it would be wonderful not to have to use the word teen. What happened to eleven and twelve to make them special? Using the logic applied to 13-19 they should be called oneteen and twoteen. Sounds silly, but I am just applying the same word logic used for the other teens.

The simplest, and perhaps most likely substitute would be to change it to the tens: thirten, fourten, fiften, sixten, seventen, eighten and nineten. Anything more drastic would likely not be accepted by the public. The slight change in pronunciation would help better differentiate the tens from the decades.

How about having more … creative words replacing ordinary. Squeazle would make an excellent substitute for teapot!

Re: “During the middle of the nineteenth century dichloride (in the name of chemical compounds) changed from meaning half a chlorine atom, to meaning two.”

Before the dawn of the Atomic Age,the concept of “half an atom” would have held no meaning. More likely you meant to say: “…changed from meaning half a chlorine molecule to meaning two atoms.”

On the matter of the confusative case, I really like Philip Musgrave’s suggestion. Its brilliant minimalism would seem to improve the likelihood of its adoption. We need a writer of the stature and influence of G.B. Shaw to boldly start using the new number names.

We seem either to have borrowed some of our English number system from Norse sources, perhaps during the Viking period and the Danelaw or to have shared a close common ancestor going back to the days of the Angles and Saxons, who, as I recall, originated from the area between Friesland and Schleswig. Take a look at the Norwegian counting system: The Norwegian “tretten, fjorten, femten” look very similar to the proposed “thirten, fourten, fiften.” And see how their ten’s-place numbers relate to the English: “forti” in Norwegian is pronounced almost exactly the same as English “forty.”

Anyway, as an example of the Musgrave Modification, here are the adapter lyrics from the Rolf and Liesl duet in the Sound of Music:

I am sixten going on seventen, innocent as a rose.

Bachelor dandies, drinkers of brandies — what do I know of those?

I need someone older and wiser telling me what to do.

You are seventen going on eighten; I will depend on you.

— Erik Pedersen, Victoria, British Columbia