Trials in an experiment with a polygraph include 96 results that include 23 cases of wrong results and 73 cases of correct results. Use a 0.05 significance level to test the claim that such polygraph results are correct less than 80% of the time. Identify the nullhypothesis, alternativehypothesis, teststatistic, P-value, conclusion about the nullhypothesis, and final conclusion that addresses the original claim. Use theP-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=0.80

H1: p>0.80

B. H0: p=0.20

H1: p0.20

C. H0: p=0.80

H1: p0.80

D. H0: p=0.20

H1: p>0.20

E. H0: p=0.80

H1: p<0.80

F. H0: p=0.20

H1: p<0.20

The test statistic is z= _____(Round to two decimal places asneeded.)

TheP-value is ______(Round to four decimal places asneeded.)

Identify the conclusion about the null hypothesis and the final conclusion that addresses the original claim.

Fail to reject or Reject H0. There is or is not sufficient evidence to support the claim that the polygraph results are correct less than 80% of the time.