1) Use technology to find theP-value for the hypothesis test described below.

The claim is that for 12 AM bodytemperatures, the mean is <98.6F. The sample size is n=3 and the test statistic is t=2.069.

P-value=______ (Round to three decimal places asneeded.)

2) 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 0.05 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: p<0.20

C.H0: p=0.20

H1: p0.20

D.H0: p=0.20

H1: p>0.20

E.H0: p=0.80

H1: p0.80

F.H0: p=0.80

H1: p<0.80

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

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

dentify the conclusion about the null hypothesis and the final conclusion that addresses the original claim._______(Fail to reject, Reject)

H0. There ______(is not, is) sufficient evidence to support the claim that the polygraph results are correct less than 80% of the time.