Which of the following is/are true?
Type I and Type II error probabilities are complements |
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Type I and Type II errors cannot both occur in one hypothesis test. |
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Type I and Type II error probabilities are conditional probabilities. |
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At least one of Type I or Type II errors must occur. |
Answer:-
1)Type I and Type II errors cannot both occur in one hypothesis test
2)At least one of Type I or Type II errors must occur.
Definition:
Type I : type I error is the rejection of a true null hypothesis.
Type II : type II error is the non-rejection of a false null hypothesis
Which of the following is/are true? Type I and Type II error probabilities are complements Type...
1. Which of the following statements are not generally true? a. A type I error is usually more serious than a type II error. b. A type II error is usually more serious than a type I error. c. A test with significance level is one for which the type I error probability is controlled at the specified level. d. When an experiment and a sample size are fixed, then decreasing the size of the rejection region to obtain...
6. Which of the following statements about hypothesis testing are true? • A type I error occurs if H, is rejected when it is true. • A type II error occurs if He is rejected when it is true. • The power of a test is the probability of failing to reject H, when it is false.
6. Which of the following statements about hypothesis testing are true? • A type I error occurs if His rejected when it is true. • A type II error occurs if H, is reject ed when it is true, • The power of a test is the probability of failing to reject H, when it is false,
The notion of Type I and Type II Errors is very important in hypothesis testing. The Ho/Ha should be set up such that a Type I Error is more serious than a Type II Error. A common example used to discuss Type I and Type II errors is the example of a trial in the US. Under US law, a defendant is considered "innocent until proven guilty." You could set up this hypothesis test as follows: Ho: defendent is...
Describe how a Type I or Type II error could occur in the following situations and give some of the factors that would determine the seriousness of the errors. a. A bookstore is trying to determine what proportion of the students buying a certain textbook will also buy an optional student guide. In the past, 40% of the students buying the text have also bought the guide. The bookstore wants to test H0: p ¼ 0.40 against Ha: p ....
True or False? The probability of a Type I error (a) and Type (II) error (B) are complementary and total to 1. a. True b. False
Which of the following is a TRUE statement about hypothesis testing? The probability of a Type I error plus the probability of a Type II error always equals one. The power of a test concerns its ability to detect a null hypothesis. If there is sufficient evidence to reject a null hypothesis at the 5% level, then there is sufficient evidence to reject it at the 10% level. Whether to use a one-sided or a two-sided test is typically decided...
In hypothesis testing, which of the following results in a type I error? Rejecting a true null hypothesis Rejecting a true alternative hypothesis Rejecting a false null hypothesis Rejecting a false alternative hypothesis
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....
Determine whether the outcome is a Type I error, a Type II error, or a correct decision. A test is made of H0: μ = 67 versus H1: μ ≠ 67. The true value of μ is 68 and H0 is not rejected a)Type II error b)Type I error c)Correct decision