Question

Find the P- value for the hypothesis test with the standardized test statistic z. Decide whether to reject H 0 for the level of significance α.

Two- tailed test
z = - 1.63
α = 0.05
A. 0.9484; fail to reject H0
B. 0.1032; fail to reject H0
C. 0.0516; fail to reject H0
D. 0.0516; reject H0

Answer 1

Option B) 0.1032; fail to reject
`H_0`

Explanation:

We are given the following information in the question:

We used two tailed z-test to perform the hypothesis.

`z_{\text{stat}} = -1.63`

Level of significance, α = 0.05

We have to calculate the p-value.

We calculate the p-value from the normal standard z-table.

p-value = 0.1032

Since,

p-value > Level of significance

We fail to reject the null hypothesis and accept it.

Option B) 0.1032; fail to reject null hypothesis