Pinworm: In Sludge County, a sample of 50 randomly selected citizens were tested for pinworm. Of these, 10 tested positive (20%). The CDC reports that the U. S. average pinworm infection rate is 12%. Conduct the following hypothesis tests and finish with an understandable concluding statement. (a) Test the claim that Sludge County has a pinworm infection rate that is greater than the national average. Use a 0.05 significance level.
(b) Test the claim that Sludge County has a pinworm infection rate that is greater than the national average. Use a 0.01 significance level.
(c) Why was it that you could make apparently contradictory statements in parts (a) and (b)?