StatCrunch

StatCrunch Assignment 3C

Number of successes: 17

Number of observations or sample size: 30

Confidence interval: 0.95

Copy and paste the link:

https://www.statcrunch.com/collectors/statcrunchu

You will select a sample of 100 students from this population and analyze the data from the sample to draw conclusions about the entire population. We want our sample to be unbiased, so we will start by selecting a random sample of size 100.

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.

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.

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.

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

1.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.

"Is the proportion of female students at StatCrunch U University less than 65% of female students reported in USA Today?"

2.Explain the methodology you will use to answer the question you posed. Your explanation should include answers to the following questions.

What is the variable of interest?

• What confidence interval will you use?
• What are your null and alternate hypotheses?

H0: p = 0.65 Vs H1: p < 0.65

• 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.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. 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.

StatCrunch Table:

Gender ClassHoursWorkLoansCC Debt

Female 414007286

Male1121730261525

Female 4180170564089

Female 41316.505283

Male212002109

Male1211045721717

Male3120127013787

Male41613.5144140

Female 41518.5156310

Female 114001318

Male31511114340

Female 2151487632961

Male315002970

Female 415005656

Female 315002684

Female 114039631182

Female 315005428

Female 11121.501036

Female 41028149452832

Female 492309654

Female 11200975

Male215082383066

Female 1929.537151301

Female 11517.544940

Female 11214.539771370

Female 317006127

Female 11810.550741007

Male114001191

Female 11517.529521186

Male313004079

Female 216067491923

Male413003730

Female 217003320

Female 115001367

Female 415003147

Male214070202842

Male112000

Female 215003257

Female 31217.5106672852

Female 116001178

Male1121946311902

Male3170153215166

Male315005128

Female 118001259

Male117001525

Male112001369

Female 1171332891261

Female 41417.5144107430

Female 26002682

Male2634.578900

Female 1161335451208

Male3160122462380

Female 115001313

Male118001325

Female 2171081653176

Female 4926.5149890

Female 114028031184

Female 11514.531431135

Female 117001230

Male111285441410

Female 2633.576052892

Male315004363

Female 217002914

Female 41512.5158970

Female 273472271842

Female 31515135562961

Female 4627.5151272152

Female 31415122132637

Female 220668842304

Female 21613109793067

Female 118001375

Female 415003521

Male2627.588013147

Male1113050031565

Male31519118644028

Female 414000

Female 313012690 3500

Male115001678

Male316005479

Male4170017669

Female 417007535

Male212002060

Male320011004 4863

Female 316004727

Male2627.578373105

Male216002784

Male39011994 3555

Male2151476963519

Male117000

Female 412004195

Female 21316.568222147

Female 2189.575062472

Female 415004957

Female 118024111267

Female 31119.5124932398

Female 21117.584833188

Male116001476

Female 11516.532571210

Male312006608

Male320004577