Trials in an experiment with a polygraph include 96 results that include 22 cases of wrong results and 74 cases of correct results. Use a 0.01 significance level to test the claim that such polygraph results are correct less than 80% of the time. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method. Use the normal distribution as an approximation of the binomial distribution.

Let p be the population proportion of correct polygraph results. Identify the null and alternative hypotheses. Choose the correct answer below.

A.

H0: pequals0.20

H1: pgreater than0.20

B.

H0: pequals0.20

H1: pnot equals0.20

C.

H0: pequals0.80

H1: pnot equals0.80

D.

H0: pequals0.80

H1: pless than0.80

E.

H0: pequals0.80

H1: pgreater than0.80

F.

H0: pequals0.20

H1: pless than0.20