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.

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 : [tex]z = -2.28[/tex]

Significance level : [tex]\alpha=0.02[/tex]

By using the standard normal distribution table ,

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

[tex]2P(Z>|z|)=2P(Z>2.28)=0.0226[/tex]

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

Then , we do not reject the null hypothesis.

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.