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 sun 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' claim? YES or NO

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 1E: A binomial experiment is UDC in which there are exactly __________ outcome. One outcome is called...
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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
Transcribed Image Text: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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