Suppose a researcher is testing the hypothesis Ho: p= 0.6 versus H,: p>0.6 and she finds the P-value to be 0.21. Explain what this means. Would she reject the null hypothesis? Why? Choose the correct explanation below. O A. If the P-value for a particular test statistic is 0.21, she expects results at least as extreme as the test statistic in exactly 21 of 100 samples if the null hypothesis is true. O B. If the P-value for a particular test statistic is 0.21, she expects results at least as extreme as the test statistic in about 21 of 100 samples if the null hypothesis is true. O C. If the P-value for a particular test statistic is 0.21, she expects results no more extreme than the test statistic in about 21 of 100 samples if the null hypothesis is true. O D. If the P-value for a particular test statistic is 0.21, she expects results no more extreme than the test statistic in exactly 21 of 100 samples if the null hypothesis is true.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Suppose a researcher is testing the hypothesis \( H_0: p = 0.6 \) versus \( H_1: p > 0.6 \) and she finds the P-value to be 0.21. 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 0.21, she expects results at least as extreme as the test statistic in exactly 21 of 100 samples if the null hypothesis is true.

- **B.** If the P-value for a particular test statistic is 0.21, she expects results at least as extreme as the test statistic in about 21 of 100 samples if the null hypothesis is true.

- **C.** If the P-value for a particular test statistic is 0.21, she expects results no more extreme than the test statistic in about 21 of 100 samples if the null hypothesis is true.

- **D.** If the P-value for a particular test statistic is 0.21, she expects results no more extreme than the test statistic in exactly 21 of 100 samples if the null hypothesis is true.

The correct option is **C**.
Transcribed Image Text:Suppose a researcher is testing the hypothesis \( H_0: p = 0.6 \) versus \( H_1: p > 0.6 \) and she finds the P-value to be 0.21. 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 0.21, she expects results at least as extreme as the test statistic in exactly 21 of 100 samples if the null hypothesis is true. - **B.** If the P-value for a particular test statistic is 0.21, she expects results at least as extreme as the test statistic in about 21 of 100 samples if the null hypothesis is true. - **C.** If the P-value for a particular test statistic is 0.21, she expects results no more extreme than the test statistic in about 21 of 100 samples if the null hypothesis is true. - **D.** If the P-value for a particular test statistic is 0.21, she expects results no more extreme than the test statistic in exactly 21 of 100 samples if the null hypothesis is true. The correct option is **C**.
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