Question

The following hypotheses are given.

H₀: p ≤ 0.49

H₁: p > 0.49

A sample of 142 observations revealed that

= 0.39. At the 0.10 significance level, can the null hypothesis be rejected?

a. State the decision rule. (Round the final answer to 3 decimal places.)

Reject Correct H₀ and and accept Correct H₁ if z > 1.28 1.28 Incorrect or z < 1.28 1.28 Incorrect .

b. Compute the value of the test statistic. (Round the final answer to 2 decimal places.)

Value of the test statistic            -2.38 -2.38 Correct

c. What is your decision regarding the null hypothesis?

Answer 1

a. State the decision rule

The rejection region for this right-tailed test is z > 1.28

b. Compute the value of the test statistic.

-2.38

c. What is your decision regarding the null hypothesis?

It is concluded that the null hypothesis Ho is not rejected. Therefore, there is not enough evidence to claim that the population proportion p is greater than p0​, at the α=0.10 significance level.