StatCrunch

StatCrunch Assignment 3

In this assignment, you will use the StatCrunch U data set that you developed in Module 2 as part of the first StatCrunch assignment.

As you did in StatCrunch Assignment 1B, look at the items in the StatCrunch U survey and develop a question regarding population proportions that can be answered using the survey data you collected.

As a reminder, here are the items on the survey:

Here are some possible questions.Feel free to pick one of those questionsbut it would be better for you to formulate a question of your own. For this assignment, you need a question related to a single proportion (since our sample data is drawn from a single population) and one that will require the use of a confidence interval and hypothesis test to answer.

NOTE: There is a sample StatCrunch Assignment 3 designed to give you an idea of how to do this assignment. It uses a question related to the proportions of female and male students at StatCrunch U. You cannot use that question on this assignment.

Is the proportion of female students at StatCrunch U different from the nationwide proportion of female students as reported by USA today?

Is the proportion of seniors less than 25% of the student body?

Is the proportion of students who work different from the nationwide proportion of students who work reported as 71% by a 2013 U.S. Census report?

Is the proportion of students with student loans greater than the proportion of students without student loans? (This can be treated as a single proportion problem from the point of view that all students either do or do not have a student loan.

This is my Data:

GenderClassHoursWorkLoansCC Debt

Male115001342

Male214003243

Male120001408

Female415004928

Male41415.5161254952

Female11714.552991486

Female4112409409

Male217000

Male312003869

Male314005933

Male317004012

Female4431158525309

Female3925.5109503663

Male41221159714403

Female416006252

Female415004498

Male317004548

Female41716151069388

Male216054482532

Female2734.501842

Female114000

Male4922.5146274873

Male317006068

Female41414160877068

Female41815.5154844237

Female115027731343

Male217098742732

Female314005842

Male31516.503777

Female319003574

Female3925.5127475711

Male4150161813849

Male218082722603

Female21515.584942146

Female3932.5122372611

Male1121851831695

Female3633.5103973257

Male415003696

Male114001373

Female118030101177

Female363204508

Male214004001

Female1178.545951155

Female11115.501309

Male318003923

Female41223.5139932404

Female31611116733787

Male263181424169

Female115050381231

Male31130103254134

Female215000

Female114001173

Female31511.500

Female4434.5167563612

Male2161084903463

Male313004570

Female414003278

Female114001487

Male121940661429

Female31711.5126063695

Female1112101015

Female1161849241307

Female433905072

Female4439162077096

Female3140111894890

Female314002887

Female315003102

Female21125.582872179

Female3140117952927

Female217003280

Female413004211

Female1102732491097

Male415007269

Female112001196

Female1151626910

Female115001129

Female314004112

Male116001286

Male117001525

Female117826140

Female412006241

Female412007837

Male4150012904

Male118048331093

Male119001478

Male116035271808

Male114001694

Female112035751254

Male4130165485274

Female4120155158486

Female112001134

Male317008254

Female46005137

Female4633.5144884492

Male412000

Male215002850

Female292782012707

Male317004253

Female115001308

Female1121555571462

Answer each of the following questions. Point values are indicated with each question.

1.(20 pts.) State your question. Remember that your question should be related to the population proportion or proportions and should be one that will require the use of a confidence interval and hypothesis test to answer. Assume that your sample is representative of the population.

2.(30 pts.) Explain the methodology you will use to answer the question you posed. Your explanation should include answers to the following questions. Do not include your analysis or answers to your question hereonly describe how you will do the analysis.

What is the variable of interest?

• What confidence interval will you use?
• What are your null and alternate hypotheses?
• Is it a one-sample or two-sample test?
• Is it an upper (right)-, lower (left)-, or two-tail test?
• What level of significance will you use and why?
• Are the conditions necessary for a confidence interval and hypothesis test for the population proportion satisfied? Explain.

3.(30 pts.) Carry out the methodology described in 2 above. Use StatCrunch and paste copies of the StatCrunch output in the space below. (NOTE: For the purposes of this assignment, go ahead and complete the confidence interval and hypothesis test even if there are not at least 10 successes and 10 failures.) Your explanation should include answers to the following questions:

What are the upper and lower bounds of the confidence interval?

• What is the error term in the confidence interval?
• What does the confidence interval mean in terms of the question you posed?
• What is the p-value in your hypothesis test and what does it mean in terms of the question you posed?
• Did you reject or not reject the null hypothesis and why?
• What is the conclusion of your hypothesis test in terms of the question you posed?
• Do the results of the confidence interval and hypothesis test agree? Explain.

4.4. (20 pts.) Based on the results of 2 and 3 above, answer your question. Include an explanation of how you used the StatCrunch output to formulate your answer.