Suppose in a study of sleep in 5680 randomly selected U.S. college and university students, 875 of them were getting a least eight hours of sleep per night. Use the steps below and a significance (alpha) level of 0.02 to test the hypothesis that the population proportion of U.S college and university students getting at least eight hours of sleep per night is equal to 0.15.   a. What is the critical value of the appropriate test statistic? b. Calculate the observed value of the appropriate test statistic. Show all work. C. Calculate the appropriate p-value for the observed test statistic. Show all work on how you calculated it.  D. Draw a complete conclusion about the population proportion, based on your results and an alpha level of 0.02.

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Suppose in a study of sleep in 5680 randomly selected U.S. college and university students, 875 of them were getting a least eight hours of sleep per night. Use the steps below and a significance (alpha) level of 0.02 to test the hypothesis that the population proportion of U.S college and university students getting at least eight hours of sleep per night is equal to 0.15.

 

a. What is the critical value of the appropriate test statistic?

b. Calculate the observed value of the appropriate test statistic. Show all work.

C. Calculate the appropriate p-value for the observed test statistic. Show all work on how you calculated it. 

D. Draw a complete conclusion about the population proportion, based on your results and an alpha level of 0.02. 

Expert Solution
Step 1

Given,n=5680x=875sample proportion(p^)=xnp^=8755680=0.1540population proportion(P)=0.15α=0.02

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