Jeffrey and Taline each want to test whether the proportion of adults in their neighborhood who have graduated from high school is 0.94, as claimed in the newspaper. Jeffrey takes a random sample of 200 adults
and uses α =0.05. Taline takes a random sample of 500 adults and uses α
=0.05. Suppose the newspaper’s percentage is actually right.
(a)Is it possible for Jeffrey and Taline to make a Type I error? If so, who is more likely to do so?
(b) Is it possible for Jeffrey and Taline to make a Type II error? If so, who is more likely to do so?

Question

Jeffrey and Taline each want to test whether the proportion of adults in their neighborhood who have graduated from high school is 0.94, as claimed in the newspaper. Jeffrey takes a random sample of 200 adults
and uses α =0.05. Taline takes a random sample of 500 adults and uses α
=0.05. Suppose the newspaper’s percentage is actually right.
(a)Is it possible for Jeffrey and Taline to make a Type I error? If so, who is more likely to do so?
(b) Is it possible for Jeffrey and Taline to make a Type II error? If so, who is more likely to do so?