The worldwide market share for the Mozilla Firefox web browser was 17% in a recent month. (Data extracted from netmarketshare.com.) Suppose that you decide to select a sample of 100 students at your university and you find that 22 use the Mozilla Firefox web browser. 

a. Use the five-step p-value approach to try to determine whether there is evidence that the market share for the Mozilla Firefox web browser at your university is greater than the worldwide market share of 17%. (Use the 0.05 level of significance.)

b. Suppose that the sample size is n = 400, and you find that 22% of the sample of students at your university (88 out of 400) use the Mozilla Firefox web browser. Use the five- step p- value approach to try to determine whether there is evidence that the market share for the Mozilla Firefox web browser at your university is greater than the worldwide market share of 17%. (Use the 0.05 level of significance.)

c. Discuss the effect that sample size has on hypothesis testing.

d. What do you think are your chances of rejecting any null hypothesis concerning a population proportion if a sample size of n = 20 is used?