Question

The test statistic of z=2.08 is obtained when testing the claim that p≠0.611. 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=0.01​, should we reject H0 or should we fail to reject H0​?

Answer 1

Following are the solution to the given points:

Explanation:

When the two-tailed were testing then:

Null and alternative hypothesis:

`H_0 : p = 0.611\\\\H_a : p \\eq 0.611`

Testing the statistics:

`\to z = 2.08\\\\P-value = 0.0375\\\\\alpha = 0.01\\\\0.0375> 0.01\\\\P-value < \alpha\\\\`

therefore, it fails to reject the null hypothesis.