Question

Test the​ hypothesis, using​ (a) the classical approach and then​ (b) the​ P-value approach. Be sure to verify the requirements of the test. H0​: p=0.6 versus H1​: p>0.6 n=200​; x=140​, α=0.05

​(a) Choose the correct result of the hypothesis test for the classic approach below.

A.Do not reject the null​ hypothesis, because the test statistic is greater than the critical value.

B.Do not reject the null​ hypothesis, because the test statistic is less than the critical value.

C.Reject the null​ hypothesis, because the test statistic is less than the critical value.

D.Reject the null​ hypothesis, because the test statistic is greater than the critical value. ​

(b) Choose the correct result of the hypothesis test for the​ P-value approach below.

A.Reject the null​ hypothesis, because the​ P-value is less than α.

B.Reject the null​ hypothesis, because the​ P-value is greater than α.

C.Do not reject the null​ hypothesis, because the​ P-value is greater than α.

D.Do not reject the null​ hypothesis, because the​ P-value is less than α.

Answer 1

a)

The test statistic is given by:

Since this is a right-tailed test, so the critical value is given by:

Since the test statistic value is greater than the critical value, so we have sufficient evidence to reject H0.

Hence option D.

b)

The test statistic is given by:

Since this is a right-tailed test, so the p-value is given by:

Since p-value is less than 0.05, so we have sufficient evidence to reject the null hypothesis H0.

Hence option A.