44. In a cover story, BusinessWeek published information about sleep habits of Americans

(BusinessWeek, January 26, 2004). The article noted that sleep deprivation causes a number of problems, including highway deaths. Fifty-one percent of adult drivers admit to driving while drowsy. A researcher hypothesized that this issue was an even bigger problem for night shift workers.

a. Formulate the hypotheses that can be used to help determine whether more than 51%

of the population of night shift workers admit to driving while drowsy.

b. A sample of 500 night shift workers identified those who admitted to driving while drowsy. What is the sample proportion? What is the p-value?

c. At α  .01, what is your conclusion?