USA Today (Feb. 17, 2011) described a survey of 1,008 American adults. One question on the survey asked people if they had ever sent a love letter using e-mail. Suppose that this survey used a random sample of adults and that you want to decide if there is evidence that more than 20% of American adults have written a love letter using e-mail.
a. Describe the shape, center, and spread of the sampling distribution of  for random samples of size 1,008 if the null hypothesis H0: p = 0.20 is true.
b. Based on your answer to Part (a), what sample proportion values would convince you that more than 20% of adults have sent a love letter via e-mail?