MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- A man is on trial accused of murder in the first degree. The prosecutor presents evidence that he hopes will convince the jury to reject the hypothesis that the man is innocent. This situation can be modeled as a hypothesis test with the following hypotheses: Explain the meaning of a Type I error.arrow_forwardWhich of the following is an example of a Type 1 error? Rejecting a false null hypothesis. Rejecting a true null hypothesis. Failing to reject a false null hypothesis. Failing to reject a true null hypothesis.arrow_forwardA Type II error is defined as a. rejecting a null hypothesis when it is in fact true b. failing to reject a false null hypothesis c. rejecting a false null hypothesis d. failing to reject a true null hypothesisarrow_forward
- Which of the following relates to the rejection of the null hypothesis when it is actually true? 1. Type I error2. Type II error 3. Power 4. Statistical significancearrow_forwardWhat are the two decisions that you can make from performing a hypothesis test? CO What are the two decisions that you can make from performing a hypothesis test? Select all that apply. A. fail to reject the alternative hypothesis C. reject the null hypothesis E. accept the null hypothesis G. make a type I error B. make a type Il error D. reject the alternative hypothesis F. fail to reject the null hypothesis H. accept the alternative hypothesisarrow_forwardRetaining a false null hypothesis, which type of error it is?arrow_forward
- When is there a risk of a Type II error? a. The risk of a Type II error is independent from the decision about a hypothesis test b. whenever H0 is rejected c. whenever the decision is "do not reject H0" d. whenever H1 is rejectedarrow_forwardQ3. If the null hypothesis is not rejected when the null hypothesis is in error, what type of error, if any, has been made?arrow_forwardD. Whymight it be worse to make a Type 1 error in this scenario? E. Suppose that we fail to reject the null hypothesis. Wrote a conclusion statement in the context of the problem. Assume no errors were made.arrow_forward
- Which of the following risks a Type II error? A.Rejecting a null hypothesis that is true B.Not rejecting a null hypothesis that is false C.Not rejecting a null hypothesis that is true D.All of the above E.Rejecting a null hypothesis that is falsearrow_forwardA null and alternative hypothesis are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. Ho: H 3 7.2 H3: 7.2 What type of test is being conducted in this problem? O A. Right-tailed test O B. Left-tailed test OC. Two-tailed testarrow_forwardWhen conducting a hypothesis test, we hope to avoid commiting a type 1 error, which is: 1. Not as bad as committing a type 2 error 2. rejecting a null hypothesis when it is true 3. rejecting the alternate hypothesis when it is true 4. accepting the null hypothesis when the alternate hypothesis is truearrow_forward
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