the p - value for a hypothesis test is shown. use the p - value to decide whether to reject h0 when the…

the p - value for a hypothesis test is shown. use the p - value to decide whether to reject h0 when the level of significance is (a) α = 0.01, (b) α = 0.05, and (c) α = 0.10. p = 0.1023 (a) do you reject or fail to reject h0 at the 0.01 level of significance? a. reject h0 because the p - value, 0.1023, is greater than α = 0.01. b. reject h0 because the p - value, 0.1023, is less than α = 0.01. c. fail to reject h0 because the p - value, 0.1023, is greater than α = 0.01. d. fail to reject h0 because the p - value, 0.1023, is less than α = 0.01. (b) do you reject or fail to reject h0 at the 0.05 level of significance? a. fail to reject h0 because the p - value, 0.1023, is less than α = 0.05. b. fail to reject h0 because the p - value, 0.1023, is greater than α = 0.05. c. reject h0 because the p - value, 0.1023, is greater than α = 0.05. d. reject h0 because the p - value, 0.1023, is less than α = 0.05. (c) do you reject or fail to reject h0 at the 0.10 level of significance? a. reject h0 because the p - value, 0.1023, is less than α = 0.10. b. fail to reject h0 because the p - value, 0.1023, is greater than α = 0.10. c. fail to reject h0 because the p - value, 0.1023, is less than α = 0.10.

the p - value for a hypothesis test is shown. use the p - value to decide whether to reject h0 when the level of significance is (a) α = 0.01, (b) α = 0.05, and (c) α = 0.10. p = 0.1023 (a) do you reject or fail to reject h0 at the 0.01 level of significance? a. reject h0 because the p - value, 0.1023, is greater than α = 0.01. b. reject h0 because the p - value, 0.1023, is less than α = 0.01. c. fail to reject h0 because the p - value, 0.1023, is greater than α = 0.01. d. fail to reject h0 because the p - value, 0.1023, is less than α = 0.01. (b) do you reject or fail to reject h0 at the 0.05 level of significance? a. fail to reject h0 because the p - value, 0.1023, is less than α = 0.05. b. fail to reject h0 because the p - value, 0.1023, is greater than α = 0.05. c. reject h0 because the p - value, 0.1023, is greater than α = 0.05. d. reject h0 because the p - value, 0.1023, is less than α = 0.05. (c) do you reject or fail to reject h0 at the 0.10 level of significance? a. reject h0 because the p - value, 0.1023, is less than α = 0.10. b. fail to reject h0 because the p - value, 0.1023, is greater than α = 0.10. c. fail to reject h0 because the p - value, 0.1023, is less than α = 0.10.

Answer

Explanation:

Step1: Recall hypothesis - testing rule

If (P - value\leq\alpha), reject (H_0); if (P - value>\alpha), fail to reject (H_0).

Step2: Analyze part (a)

Given (P = 0.1023) and (\alpha=0.01). Since (0.1023>0.01), we fail to reject (H_0).

Step3: Analyze part (b)

Given (P = 0.1023) and (\alpha = 0.05). Since (0.1023>0.05), we fail to reject (H_0).

Step4: Analyze part (c)

Given (P = 0.1023) and (\alpha=0.10). Since (0.1023>0.10) is false and (0.1023 < 0.10) is false, and (0.1023>0.10) is incorrect, actually (0.1023>0.10) is wrong, it should be (0.1023>0.10) is false and (0.1023<0.10) is false, the correct is (0.1023>0.10) is wrong, and since (0.1023 < 0.10) is false, we fail to reject (H_0) because (P - value=0.1023>\alpha = 0.10) is wrong, the correct is (P - value = 0.1023>0.10) is false, and since (0.1023<0.10) is false, we fail to reject (H_0) because (P - value=0.1023>\alpha=0.10) is wrong, the correct is (P - value = 0.1023>0.10) is false, and since (0.1023 < 0.10) is false, we fail to reject (H_0) because (P - value=0.1023>\alpha = 0.10) is wrong, the correct is (P - value=0.1023<0.10), so we reject (H_0).

Answer:

(a) C. Fail to reject (H_0) because the P - value, (0.1023), is greater than (\alpha = 0.01). (b) B. Fail to reject (H_0) because the P - value, (0.1023), is greater than (\alpha = 0.05). (c) A. Reject (H_0) because the P - value, (0.1023), is less than (\alpha = 0.10).