56. Shell Oil office workers were asked which work schedule appealed most: working five 8-hour days a week or working four 10-hour days a week (USA Today, September 11, 2000). Let p  the proportion of the office worker population preferring the four-10-hour-days work week.

a. State the hypotheses if Shell management is interested in statistical support that shows more than 50% of office workers prefer the four-10-hour-days work week.

b. What is the sample proportion if a sample of 105 office workers showed 67 preferred the four-10-hour-days schedule?

c. What is the p-value? Use α  .01. What is your conclusion?