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10 March, 23:38

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

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  1. 11 March, 02:49
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    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.
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