A for the same data and null hypothesis is the p-value of a

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? Choose one  

1.The P-value for a one-tailed test is smaller because the two-tailed test includes the area in only one tail.2.The P-value for a one-tailed test is larger because the two-tailed test includes the area in both tails.3.The P-value for a one-tailed test is smaller because the two-tailed test includes the area in both tails.4.The P-value for a one-tailed test is larger 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 H₀ while a two-tailed test results in the conclusion to fail to reject H₀? choose one  

1.Yes. The P-value for a one-tailed test might be smaller than α, while the P-value for a two-tailed test could be larger than α.2.No. The P-value for a one-tailed test might be smaller than α, while the P-value for a two-tailed test could be larger than α.3.Yes. When the P-value for a one-tailed test is smaller than α, the P-value for a two-tailed test will also be smaller than α.4.No. When the P-value for a one-tailed test is smaller than α, the P-value for a two-tailed test will also be smaller than α.

(c) For the same data, null hypothesis, and level of significance, if the conclusion is to reject H₀ based on a two-tailed test, do you also reject H₀ based on a one-tailed test? choose one  

1.Yes. If the two-tailed P-value is smaller than α, the one-tailed area will be larger than α.2.No. If the two-tailed P-value is smaller than α, the one-tailed area will be larger than α.3.Yes. If the two-tailed P-value is smaller than α, the one-tailed area is also smaller than α.4.No. If the two-tailed P-value is smaller than α, the one-tailed area is also smaller than α.

(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? choose one  

1.Yes. The conclusions will be the same.2.Yes. The conclusions can be different.3.No. The conclusions will be the same.4.No. The conclusions can be different.