Find the p-value and corresponding statistical conclusion for each of these situ

Question

Find the p-value and corresponding statistical conclusion for each of these situations. Be sure to take into account directionality of the test. A) Ho: 9 Ha: > 9 n = 11 = 0.05 t-statistic = 2.07 The statistical decision is reject or fail to reject?: B) Ho: 72 Ha: < 72 n = 13 = 0.01 t-statistic = -1.47 The statistical decision is: reject or fail to reject? C) Ho: = 141 Ha: 141. n = 10 The significance level is: 0.01 t-statistic = 1.83 The statistical decision is: reject or fail to reject?D) Ho: 767 Ha: > 767 n = 20 Significance level = 0.025 t-statistic = 2.55 The statistical decision is: reject or fail to reject?E) Ho: 2675 Ha: < 2675 n = 25 = 0.01 t-statistic = -1.72 The statistical decision is: reject or fail to reject F) Ho: = 3775 Ha: 3775. n = 18 = 0.01 t-statistic = -2.48 The statistical decision is: reject or fail to reject?

Explanation / Answer

A) p value corresponding to t=2.07 is 0.033. The p value is less than 0.05. Therefore, reject null hypothesis.

B) The p value is 0.083. The p value is not less than 0.01. Fail to reject null hypothesis.

C) The p value is 0.1. This is not less than 0.01. Fail to reject null hypothesis.

D) The p value is 0.009. This is less than 0.025, reject null hypothesis.

E) The p value is 0.049. This is not less than 0.01. Fail to reject null hypothesis.

F) The p value is 0.024. This is not less than 0.01. Fail to reject null hypothesis.

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