Question

The test statistic of z=1.92 is obtained when testing the claim that p≠0.767. a. Identify the hypothesis test as being​ two-tailed, left-tailed, or​ right-tailed. b. Find the​ P-value. c. Using a significance level of α=0.10​, should we reject H0 or should we fail to reject H0​?

Answer 1

it is a two tailed test

The p - value for z=1.92 is 0.9726

Using a significance level of α=0.10, We fail to reject H0. The calculated z value lies out side the Zα value.

Explanation:

For p≠0.767

Taking null hypothesis as p≠0.767 and alternate hypothesis as p =0.767

H0 :p≠0.767 Ha :p≠0.767 it is a two tailed test

The p - value for z=1.92 is 0.9726 from the table.

Using a significance level of α=0.10

z value for 0.10 for two tailed test is ± 1.645

Z >zα

1.92> ± 1.645

Using a significance level of α=0.10, We fail to reject H0. The calculated z value lies out side the Zα value.