HW 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**.

Given data: Suppose a researcher is testing the hypothesis Ho: p=0.6 versus H₁: p>0.6 and she finds the P-value to be 0.21. Explain what this means. To find: Would she reject the null hypothesis? Why? P-value: The probability, if the null hypothesis is true of obtaining a sample statistics with a value as extreme or more extreme than the one determined from the sample data. It is the probability of null hypothesis being true. It can accept or reject the null hypothesis based on p value.Therefore, The correct option is: B 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.