13.) According to a recent​ report, 46​% of college studentinternships are unpaid. A recent survey of 120 college interns at alocal university found that 60 had unpaid internships.

- Use the​ five-step p-value approach to hypothesis testing anda 0.05 level of significance to determine whether the proportion ofcollege interns that had unpaid internships is different from 0.46.Assume that the study found that 69 of the 120 college interns hadunpaid internships and repeat​ (a). Are the conclusions the​same?

Let π be the population proportion. Determine the null​hypothesis, H0​, and the alternative​ hypothesis,

H1​: π = ____

H1​: π ≠ ____

​(Type integers or decimals. Do not​ round.)

- What is the test​ statistic? ZSTAT = _____ ​ (Round to twodecimal places as​ needed.)

- What is the​ p-value? ​(Round to three decimal places as​needed.)

- What is the final​ conclusion?   ________ the nullhypothesis. There _____ sufficient evidence that the proportion ofcollege interns that had unpaid internships is ________ 0.46because the​ p-value is ________ the level of significance.

- Assume that the study found that 60 of the 120 college internshad unpaid internships and repeat​ (a). What is the test​statistic? ZSTAT = _____ ​(Round to two decimal places as​needed.)

- What is the​ p-value? The​ p-value is _____ (Round to threedecimal places as​ needed.)

- What is the final​ conclusion? The result is ___________ part​(a). ________ the null hypothesis. There ____ sufficient evidencethat the proportion of college interns that had unpaid internships_____________ 0.46 because the​ p-value ____________ the level ofsignificance.

14.) Recently, a large academic medical center determined that 9of 23 employees in a particular position were male​, whereas 57% ofthe employees for this position in the general workforce were male.At the 0.01 level of​ significance, is there evidence that theproportion of male in this position at this medical center isdifferent from what would be expected in the general​workforce?

What are the correct hypotheses to test to determine if theproportion is​ different?

- Calculate the test statistic. ZSTAT = _______

- What is the​ p-value? The​ p-value is ________

- State the conclusion of the test. __________ the nullhypothesis. There is __________ evidence to conclude that theproportion of male in this position at this medical center isdifferent from the proportion in the general workforce.