If alpha is the probability of committing a Type I error and β is the probability of committing a Type II error in a hypothesis test, the power of the test is given by __________.
A. (1 – β)
B. β
C. alpha
D. 1 - alpha)
If alpha is the probability of committing a Type I error and β is the probability...
Holding everything else is fixed, which will decrease when the probability of committing a Type I error is reduced? Two answers are correct: 1. level of significance 2. β 3. power 4. level of confidence 5. probability of committing a type II error 6. confidence coefficient
State whether the following statements true or false, and Why? 1. The type I error and type II error are related. A decrease in the probability of one generally results in an increase in the probability of the other. 2. The size of the critical region, and therefore the probability of committing a type I error, can always be reduced by adjusting the critical value(s). 3. An increase in the sample size n will reduce α and β simultaneously. 4....
14. Which of the following statements is correct? a. The probability of Type II error is higher when a is .01 rather than .05. b. The probability of Type I error is higher when a is .01 rather than .05. c. The probability of Type I and Type II error is not dependent on the a level. d. When you test a null hypothesis at a = .05, there is a 1 out of 20 chance of committing a Type...
Alpha refers to __________. A Statistical power B The probability of making a Type II error C The probability of making a Type I error D Effect size
___is the probability of a Type II error; and ___ is the probability of correctly rejecting a false null hypothesis. 1-β; β β; 1-β α; β β; α A student hypothesized that girls in his class had the same blood pressure levels as boys. The probability value for his null hypothesis was 0.01. So he concluded that the blood pressures of the girls were the same as boys’. Which kind of mistake did he make? Type I error Type II...
Setting a small significance level (i.e., alpha = 0.05) protects against committing a Type II error. True False
5. A bowl contains ten marbles of which 0 are white while the others are black. In order to test the null hypothesis H0 : θ-1 against H1: θ > 1, five of the marbles are randomly drawn with replacement and the null hypothesis is rejected if at least two of the five drawn are white. (a) What is the probability of committing a Type I error? (21 (b) What is the probability of committing a Type II error when...
2.) For a particular type of hypothesis test with a sample size of 25, ? = 0.01 and ? = 0.73. Find each of the following: A.) The probability of a Type I error. B.) The probability of a Type II error. C.) The power of this test. D.) What value of alpha would result in higher power for this test? E.) What value of n would result in higher power for this test?
(a) When a null hypothesis is rejected, there is risk of committing which type of error? (b) When a null hypothesis is not rejected, there is risk of committing which type of error?
When a false null hypothesis is not rejected, a.we commit a type i error b. we choose the wrong alpha c. we commit a type ii error d. we commit a type ii error e.we rely on the p value to see the probability of the null hypothesis being correct