Question

Find the​ P-value for the indicated hypothesis test with the given standardized test​ statistic, z. Decide whether to reject H0 for the given level of significance α. ​Two-tailed test with test statistic zequals=−2.28 and α=0.02.

Answer 1

Answer: We do not reject the null hypothesis.

Explanation:

• When the p-value is greater than the significance level , then we do not reject the null hypothesis or if p-value is smaller than the significance level , then we reject the null hypothesis.

Given : Test statistic :
`z = -2.28`

Significance level :
`\alpha=0.02`

By using the standard normal distribution table ,

The p-value corresponds to the given test statistic ( two tailed ):-

`2P(Z>|z|)=2P(Z>2.28)=0.0226`

Since the p-value is greater than the significance level of 0.02.

Then , we do not reject the null hypothesis.