Alpha false and true Which of the following statements are true? If false, explain briefly.

a) It is better to use an alpha level of 0.05 than an alpha level of 0.01.

b) If we use an alpha level of 0.01, then a P-value of 0.001 is statistically significant.

c) If we use an alpha level of 0.01, then we reject the null hypothesis if the P-value is 0.001.

d) If the P-value is 0.01, we reject the null hypothesis for any alpha level greater than 0.01.

Question

Luna Choi

Mathematics

11 June, 08:33

Alpha false and true Which of the following statements are true? If false, explain briefly.

a) It is better to use an alpha level of 0.05 than an alpha level of 0.01.

b) If we use an alpha level of 0.01, then a P-value of 0.001 is statistically significant.

c) If we use an alpha level of 0.01, then we reject the null hypothesis if the P-value is 0.001.

d) If the P-value is 0.01, we reject the null hypothesis for any alpha level greater than 0.01.

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Answers (1)

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Elisha Pruitt · Answer 1

A. False

B. True

C. True

D. True

Step-by-step explanation:

A. False. The significance level or alpha is the probability of rejecting the null hypothesis when it is true. For example, a significance level of 0.05 indicates a 5% risk of concluding that a difference exists when there is no actual difference. 0.01 alpha is better than 0.05 alpha. 0.01 indicate a 1% risk of rejecting the null hypothesis when it is true.

B. True. If the p-value is less than alpha, we reject the null hypothesis. Therefore statistically significant.

C. True. If the p-value is less than alpha, we reject the null hypothesis

D. True. Alpha will be greater than p-value. Therefore we will reject.