A large programming “bootcamp” claims that 90% of students who complete the bootcamp find employment within one month of graduation. An independent watchdog organization decides to evaluate this claim. They take a simple random sample of 100 students who have completed the bootcamp in the last five years. Of these, 78 say they found employment within one month of graduation. (a) What are the null and alternative hypotheses in terms of the original problem?

 Null hypothesis:



 Alternative hypothesis:



 (b) Write down what the box model looks like if the null hypothesis is true.





 (c) Calculate the z test statistic based on the information given. (Note: You may use either the sample percentage or the sum of draws as your test statistic. You should get the same answer either way.)
 z = _______







 (d) Now calculate the p-value. p = _______







 (e) What should the organization conclude based on this test? Specifically, is there enough evidence to reject the company’s claim?

 YES or NO

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
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A large programming “bootcamp” claims that 90% of students who complete the bootcamp find employment within one month of graduation. An independent watchdog organization decides to evaluate this claim. They take a simple random sample of 100 students who have completed the bootcamp in the last five years. Of these, 78 say they found employment within one month of graduation.
(a) What are the null and alternative hypotheses in terms of the original problem?

 Null hypothesis:




Alternative hypothesis:




(b) Write down what the box model looks like if the null hypothesis is true.






(c) Calculate the z test statistic based on the information given. (Note: You may use either the sample percentage or the sum of draws as your test statistic. You should get the same answer either way.)

z = _______








(d) Now calculate the p-value. p = _______








(e) What should the organization conclude based on this test? Specifically, is there enough evidence to reject the company’s claim?


YES or NO 

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