Microsoft word – stat 200 homework 9

Microsoft Word – STAT 200 Homework 9.docx

  1. Anationalrepresentativesurveyofstudentsingrades7-12askedaboutthe experience of these students with respect to sexual harassment. The students were asked whether or not they were harassed in person and whether or not they were harassed online. Here are the data for the boys:
    1. (a)  What is the sample proportion of being harassed in person given being harassed online? (call it ????”) What is the sample proportion of being harassed in person given not being harassed online? (call it ????#)
    2. (b)  Is there a difference between the two sample proportions? (Conduct a two sample proportion test with significance level 0.05)
    3. (c)  Is there an association between being harassed online and in person? (significant level 0.05)

    (d) What do you find when you compare your statistics in part (b) and (c)? [Check the squared z statistic in part (b)]

  2. APewInternetsurveyaskedcollegepresidentswhetherornottheybelieved that online courses offer an equal educational value when compared with courses taken in the classroom. The presidents were classified by the type of educational institution. Here are the data:

(a) Show the distribution of response using barplots for each of the institution type. (?barplot in R, check the argument ‘beside’)

(b) Is there an association between the presidents’ opinion to the question above with their institution types? (significant level 0.05)

Harassed in person

Harassed online

Yes

No

Yes

183

154

No

48

578

Response

Institution Type

4-year private

4-year public

2-year private

For profit

Yes

36

50

66

54

No

62

48

34

45

 

3. Asurveyof13,691Canadianstudentswhoenrolledinprivatecareercolleges was conducted to understand student participation in the private postsecondary education system. Students were asked about their field of study and how they paid for their education. A major source of funding was government loans. Here are the survey percents of Canadian private students who use government loans to finance their education by field of study:

Field of study

Number of students

Percent using government loans

Trades

942

45%

Design

599

53%

Health

5234

55%

Media/IT

3238

55%

Service

1378

60%

Other

2300

47%

  1. (a)  Construct the 6 by 2 table of counts from above table. (No need to round up to integers)
  2. (b)  Test the null hypothesis that the percent of students using government loans to finance their education does not vary with field of study. What is your conclusion? (significant level 0.05)

4. RecalltheexampleoflongleafpinetreesintheWadeTract.Wewantto examine whether the distribution of trees in the tract is random or not. First, we divide the tract into four equal parts, or quadrants, in the east-west direction. Call the four pars Q1 to Q4. Then we take a random sample of trees and count the number of trees in each quadrant. Here are the data:

  1. (a)  If the trees are randomly distributed, we expect to find 26 trees in each quadrant. Why? Explain your answer.
  2. (b)  However, we do not really expect to get exactly 26 trees in each quadrant. Why?
  3. (c)  Perform the goodness-of-fit test for these data to determine if these trees are randomly scattered. What is your conclusion. (significant level 0.05)

Quadrant

Q1

Q2

Q3

Q4

Count

40

18

24

22

 

5. Kiplinger’s“BestValuesinPublicColleges”providesarankingofU.S.public colleges based on a combination of various measures of academics and affordability. We’ll consider a random collection of 40 colleges from Kiplinger’s 2011-2012 report and focus on the average debt in dollars at graduation (AvgDebt) and the percent of students who borrow (PercBorrow). Below is the output from R for the simple linear regression of AvgDebt on PercBorrow.

  1. (a)  State the least-squares regression line.
  2. (b)  Construct a 95% confidence interval for the slope. What does this interval tell you about the change in average debt for a change in the percent who borrow?
  3. (c)  At Miami University, 51% of the students borrow, and the average debt is $27,315. What is the residual?

 

STAT 200 Homework 9 Due Date: Nov 11, 2016 1. A national representative survey of students in grades 7-12 asked about the experience of these students with respect to sexual harassment. The students were asked whether or not they were harassed in person and whether or not they were harassed online. Here are the data for the boys: Harassed online Harassed in person Yes No Yes 183 154 No 48 578 (a) What is the sample proportion of being harassed in person given being harassed online? (call it " ) What is the sample proportion of being harassed in person given not being harassed online? (call it # ) (b) Is there a difference between the two sample proportions? (Conduct a two sample proportion test with significance level 0.05) (c) Is there an association between being harassed online and in person? (significant level 0.05) (d) What do you find when you compare your statistics in part (b) and (c)? [Check the squared z statistic in part (b)] 2. A Pew Internet survey asked college presidents whether or not they believed that online courses offer an equal educational value when compared with courses taken in the classroom. The presidents were classified by the type of educational institution. Here are the data: Response Yes No 4-year private 36 62 Institution Type 4-year public 2-year private 50 66 48 34 For profit 54 45 (a) Show the distribution of response using barplots for each of the institution type. (?barplot in R, check the argument ‘beside’) (b) Is there an association between the presidents’ opinion to the question above with their institution types? (significant level 0.05) 3. A survey of 13,691 Canadian students who enrolled in private career colleges was conducted to understand student participation in the private postsecondary education system. Students were asked about their field of study and how they paid for their education. A major source of funding was government loans. Here are the survey percents of Canadian private students who use government loans to finance their education by field of study: Field of study Number of students Percent using government loans Trades 942 45% Design 599 53% Health 5234 55% Media/IT 3238 55% Service 1378 60% Other 2300 47% (a) Construct the 6 by 2 table of counts from above table. (No need to round up to integers) (b) Test the null hypothesis that the percent of students using government loans to finance their education does not vary with field of study. What is your conclusion? (significant level 0.05) 4. Recall the example of longleaf pine trees in the Wade Tract. We want to examine whether the distribution of trees in the tract is random or not. First, we divide the tract into four equal parts, or quadrants, in the east-west direction. Call the four pars Q1 to Q4. Then we take a random sample of trees and count the number of trees in each quadrant. Here are the data: Quadrant Q1 Q2 Q3 Q4 Count 40 18 24 22 (a) If the trees are randomly distributed, we expect to find 26 trees in each quadrant. Why? Explain your answer. (b) However, we do not really expect to get exactly 26 trees in each quadrant. Why? (c) Perform the goodness-of-fit test for these data to determine if these trees are randomly scattered. What is your conclusion. (significant level 0.05) 5. Kiplinger’s “Best Values in Public Colleges” provides a ranking of U.S. public colleges based on a combination of various measures of academics and affordability. We’ll consider a random collection of 40 colleges from Kiplinger’s 2011-2012 report and focus on the average debt in dollars at graduation (AvgDebt) and the percent of students who borrow (PercBorrow). Below is the output from R for the simple linear regression of AvgDebt on PercBorrow. (a) State the least-squares regression line. (b) Construct a 95% confidence interval for the slope. What does this interval tell you about the change in average debt for a change in the percent who borrow? (c) At Miami University, 51% of the students borrow, and the average debt is $27,315. What is the residual?

 

 

 

EssayProffesor.com
Calculate your paper price
Pages (550 words)
Approximate price: -

Why Work with Us

Top Quality and Well-Researched Papers

We always make sure that writers follow all your instructions precisely. You can choose your academic level: high school, college/university or professional, and we will assign a writer who has a respective degree.

Professional and Experienced Academic Writers

We have a team of professional writers with experience in academic and business writing. Many are native speakers and able to perform any task for which you need help.

Free Unlimited Revisions

If you think we missed something, send your order for a free revision. You have 10 days to submit the order for review after you have received the final document. You can do this yourself after logging into your personal account or by contacting our support.

Prompt Delivery and 100% Money-Back-Guarantee

All papers are always delivered on time. In case we need more time to master your paper, we may contact you regarding the deadline extension. In case you cannot provide us with more time, a 100% refund is guaranteed.

Original & Confidential

We use several writing tools checks to ensure that all documents you receive are free from plagiarism. Our editors carefully review all quotations in the text. We also promise maximum confidentiality in all of our services.

24/7 Customer Support

Our support agents are available 24 hours a day 7 days a week and committed to providing you with the best customer experience. Get in touch whenever you need any assistance.

Try it now!

Calculate the price of your order

Total price:
$0.00

How it works?

Follow these simple steps to get your paper done

Place your order

Fill in the order form and provide all details of your assignment.

Proceed with the payment

Choose the payment system that suits you most.

Receive the final file

Once your paper is ready, we will email it to you.

Our Services

No need to work on your paper at night. Sleep tight, we will cover your back. We offer all kinds of writing services.

Essays

Essay Writing Service

No matter what kind of academic paper you need and how urgent you need it, you are welcome to choose your academic level and the type of your paper at an affordable price. We take care of all your paper needs and give a 24/7 customer care support system.

Admissions

Admission Essays & Business Writing Help

An admission essay is an essay or other written statement by a candidate, often a potential student enrolling in a college, university, or graduate school. You can be rest assurred that through our service we will write the best admission essay for you.

Reviews

Editing Support

Our academic writers and editors make the necessary changes to your paper so that it is polished. We also format your document by correctly quoting the sources and creating reference lists in the formats APA, Harvard, MLA, Chicago / Turabian.

Reviews

Revision Support

If you think your paper could be improved, you can request a review. In this case, your paper will be checked by the writer or assigned to an editor. You can use this option as many times as you see fit. This is free because we want you to be completely satisfied with the service offered.