Consider the following. (a) For the same data and null hypothesis, is the P-valu
ID: 3226372 • Letter: C
Question
Consider the following. (a) For the same data and null hypothesis, is the P-value of a one-tailed test (right or left) larger or smaller than that of a two-tailed test? Explain your answer. The P-value for a one-tailed test is larger because the two-tailed test includes the area in only one tail. The P-value for a one-tailed test is larger because the two-tailed test includes the area in both tails. The P-value for a one-tailed test is smaller because the two-tailed test includes the area in both tails. The P-value for a one-tailed test is smaller because the two-tailed test includes the area in only one tail. (b) For the same data, null hypothesis, and level of significance, is it possible that a one-tailed test results in the conclusion to reject H_0 while a two-tailed test results in the conclusion to fail to reject H_0? Explain your answer. No. When the P-value for a one-tailed test is smaller than alpha, the P-value for a two-tailed test will also be smaller than alpha. Yes. When the P-value for a one-tailed test is smaller than alpha, the P-value for a two-tailed test also be smaller than alpha. Yes, The P-value for a one-tailed test might be smaller than alpha, while the P-value for a two-tailed test could be larger than alpha. No. The P-value for a one-tailed test might be smaller than alpha, while the P-value for a two-tailed test could be larger than alpha. (c) For the same data, null hypothesis, and level of significance, if the conclusion is to reject H_0 based on a two-tailed test, do you also reject H_0 based on a one-tailed test? Explain your answer. No. If the two-tailed P-value is smaller than alpha, the one-tailed area will be larger than alpha. Yes. If the two-tailed P-value is smaller than alpha, the one-tailed area will be larger than alpha. Yes. If the two-tailed P-value is smaller than alpha, the one-tailed area is also smaller than alpha. No. If the two-tailed P-value is smaller than alpha, the one-tailed area is also smaller than alpha. (d) If a report states that certain data were used to reject a given hypothesis, would it be a good idea to know what type of test (one-tailed or two-tailed) was used? Explain your answer. No. The conclusions can be different. Yes. The conclusions can be different. No. The conclusions will be the same. Yes. The conclusions will be the same.Explanation / Answer
a) The p-value for a one-tailed test is smaller because the two-tailed test includes the area in both tails.
b) Yes, the p-value for a one-tailed test might be smaller than alpha , while the p-value for a two-tailed test could be larger than alpha.
c) Yes, if the two-tailed p-value is smaller than alpha , the one -tailed test is also smaller than alpha.
d) Yes. The conclusions can be different.