Next two question are related to the following:

A recent report about sleep habits of Americans noted that sleep deprivation causes a number of problems, including highway deaths. The report claims that 51% of adult drivers admit to driving while drowsy. Suppose you want to test the hypothesis that more than 51% of the population of night shift workers admit to driving while drowsy. You select a sample of 500 night shift workers, of whom 272 admit to driving while drowsy.

First state your null and alternative hypotheses and the proceed with the following questions.

34 What is the value of the test statistic?

a 1.52

b 1.61

c 1.75

d 1.84

35 Determine the p-value. The p-value is,

a 0.0451 At a 1% level of significance do not conclude that that more than 51% of the population of night shift workers admit to driving while drowsy

b 0.0451 At a 1% level of significance conclude that that more than 51% of the population of night shift workers admit to driving while drowsy

c 0.0643 At a 10% level of significance conclude that that more than 51% of the population of night shift workers admit to driving while drowsy

d 0.0643 At a 5% level of significance you do not conclude that that more than 51% of the population of night shift workers admit to driving while drowsy

e Both a and b are correct.

f Both c and d are correct.