Trials in an experiment with a polygraph include 97 results that include 22 cases of wrong results and 75 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: p = 0.20, H1: p < 0.20
B. H0: p = 0.20, H1: p ≠0.20
C. H0: p = 0.80, H1: p > 0.80
D. H0: p = 0.80, H1: p < 0.80
E. H0: p = 0.20, H1: p > 0.20
F. H0: p = 0.80, H1: p ≠0.80