Question

Use the given information to find the P-value. Also, use a 0.05 significance level and state the conclusion about the null hypothesis (reject the null hypothesis or fail to reject the null hypothesis).

The test statistic in a two-tailed test is z = -1.63.

a. 0.1031; fail to reject the null hypothesis
b. 0.0516; reject the null hypothesis
c. 0.9484; fail to reject the null hypothesis
d. 0.0516; fail to reject the null hypothesis

Answer 1

Answer: a. 0.1031; fail to reject the null hypothesis

Explanation:

Given: Significance level :
`\alpha=0.05`

The test statistic in a two-tailed test is z = -1.63.

The P-value for two-tailed test :
`2P(Z>|z|)=2P(Z>|-1.63|)=0.1031` [By p-value table]

Since, 0.1031 > 0.05

i.e. p-value >
`\alpha`

So, we fail to reject the null hypothesis. [When p<
`\alpha` then we reject null hypothesis ]

So, the correct option is a. 0.1031; fail to reject the null hypothesis.