In: Statistics and Probability
A survey of 410 workers showed that 172 said it was unethical to monitor employee e-mail. When 135 senior-level bosses were surveyed, 37 said it was unethical to monitor employee e-mail. At the 1% significance level, do the data provide sufficient evidence to conclude that the proportion of workers that say monitoring employee e-mail is unethical is greater than the proportion of bosses? What is the Parameter of interest? What is the underlying Distribution?
From the given data
(1) Null and Alternative Hypothesis:
H0: the proportion of workers that say monitoring employee e-mail is unethical is not greater than the proportion of bosses
H1: the proportion of workers that say monitoring employee e-mail is unethical is greater than the proportion of bosses
i.e.
Thus we concude that the proportion of workers that say monitoring employee e-mail is unethical is greater than the proportion of bosses