Question

Find the​ P-value for the indicated hypothesis test with the given standardized test​ statistic, z. Decide whether to reject Upper H 0 for the given level of significance alpha. ​Right-tailed test with test statistic zequals1.70 and alphaequals0.03

Answer 1

Fail to reject H0 because the P-value 0.0446 is greater than the significance level 0.03.

Explanation:

Test statistic (z) = 1.70

Alpha (significance level) =

0.03

Decision rule:

Reject H0 if the P-value is less than or equal to the significance level.

Fail to reject H0 if the P-value is greater than the significance level.

The test statistic is 1.70. The cumulative area of the test statistic is obtained from the normal distribution table by taking the value of 1.7 under 0.00 column. The cumulative area is 0.9554

P-value = 1 - 0.9554 = 0.0446

Conclusion:

Fail to reject H0 because the P-value 0.0446 is greater than the significance level 0.03