For each of the following situations, indicate what the general impact on the Ty
ID: 3314287 • Letter: F
Question
For each of the following situations, indicate what the general impact on the Type ll error probability will be a. The alpha level is increased. b. The "true" population mean is moved farther from the hypothesized popoulation mean c. The alpha level is decreased d. The sample size is increased a. The alpha level is increased. Choose the correct conclusion below. A. An increase in will not change the probability of a Type II error, all other things held constant. O B. An increase in will result in a increase in the Type II error probability, all other things held constant. ° C. An increase in will result in a decrease in the Type II error probability, all other things held constant. b. The "true" population mean is moved farther from the hypothesized popoulation mean. Choose the correct conclusion below 0 A. Assuming all other factors stay the same, the probability of committing a Type II error remains the same O B. Assuming all other factors stay the same, the probability of committing a Type II error decreases ° C. Assuming all other factors stay the same, the probability of committing a Type II error increases. c. The alpha level is decreased. Choose the correct conclusion below 0 A. Assuming all other factors stay the same, the probability of committing a Type II error decreases O B. Assuming all other factors stay the same, the probability of committing a Type II error remains the same ° C. Assuming all other factors stay the same, the probability of committing a Type II error increases. d. The sample size is increased. Choose the correct conclusion below. 0 A. O B. ° C. Assuming all other factors stay the same, the probability of committing a Type II error remains the same Assuming all other factors stay the same, the probability of committing a Type II error decreases Assuming all other factors stay the same, the probability of committing a Type II error increases.Explanation / Answer
a. The change in alpha will also effect the Type II error, in the opposite direction. Decreasing alpha from 0.05 to 0.01 increases the chance of a Type II error (makes it harder to reject the null hypothesis).
So c is correct answer
b. As the actual mean moves further away from the value of the mean = 100 under the null hypothesis, the power of the hypothesis test increases.
So Type II decreases
Hence B is correct answer
c. Based on a answer is C.
d. Increasing sample size makes the hypothesis test more sensitive - more likely to reject the null hypothesis when it is, in fact, false. Thus, it increases the power of the test.
So Type II error decreases, So B is correct answer
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