Suppose a researcher is testing the hypothesis Upper H 0H0: pequals=0.3 versus U

Question

Suppose a researcher is testing the hypothesis Upper H 0H0: pequals=0.3 versus Upper H 1H1: pnot equals0.3 and she finds the P-value to be 0.33. Explain what this means. Would she reject the null hypothesis? Why? Choose the correct explanation below. A. If the P-value for a particular test statistic is 0.33, she expects results at least as extreme as the test statistic in about 33 of 100 samples if the null hypothesis is true. B. If the P-value for a particular test statistic is 0.33, she expects results no more extreme than the test statistic in exactly 33 of 100 samples if the null hypothesis is true. C. If the P-value for a particular test statistic is 0.33, she expects results at least as extreme as the test statistic in exactly 33 of 100 samples if the null hypothesis is true. D. If the P-value for a particular test statistic is 0.33, she expects results no more extreme than the test statistic in about 33 of 100 samples if the null hypothesis is true. Choose the correct conclusion below. A. Since this event is unusual, she will not reject the null hypothesis. B. Since this event is not unusual, she will reject the null hypothesis. C. Since this event is unusual, she will reject the null hypothesis. D. Since this event is not unusual, she will not reject the null hypothesis.

Explanation / Answer

The correct answers for this would be as mentioned below: -

C. If the P-value for a particular test statistic is 0.33, she expects results at least as extreme as the test statistic in exactly 33 of 100 samples if the null hypothesis is true.

The correct conclusion would be as mentioned below: -

C. Since this event is unusual, she will reject the null hypothesis.

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