Question

For a hypothesis test of H0: p = 0.40 against the alternative Ha: p > 0.40, the z test statistic is found to be 2.25. What can be said about this find

Answer 1

Answer: Reject the null hypothesis because the test statistic 2.25 falls in the rejection region of the critical value.

Step by step explaination:

H0: p = 0.40

Ha: p > 0.40

Decision rule: Reject the null hypothesis (H0) if the test statistic is greater than the critical value.

Test statistic (z) = 2.25

The test is a one-tailed test because the alternate hypothesis is expressed using the inequality greater than

Assuming a 5% significance level, the critical value is 1.645

Conclusion: Reject H0 because the test statistic 2.25 is greater than the critical value 1.645.