A test of significance was conducted in a study involving a simple random sample

Question

A test of significance was conducted in a study involving a simple random sample of 25 subjects. Based on the test result using the sample mean, , it was determined that the P.value was equal to 0.028 Which of the following statements about this P.value is (are) TRUE? O A In this situation there is relatively strong evidence against the null hypothesis. OB. The P.value was calculated under the assumption that the null hypothesis was true. CThe probability of a value of the test statistic at least as extreme as that observed in this study, assuming the null hypothesis is true, is 0.028. D.All of the above are true statements.

Explanation / Answer

D. All of the above are true statements.

Since 0.028 < 0.05(usual significance level), there is a strong evidence against the null hypothesis. Significance tests are always performed under the assumption null hypothesis is true.

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