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It is possible to directly compare the results of a confidence interval estimate to the
results obtained by testing a null hypothesis if
A) a two-tail test for μ is used.
B) a one-tail test for μ is used.
C) Both of the previous statements are true.
D) None of the previous statements is true. - Answer-a two-tail test for μ is used.
The power of a statistical test is
A) the probability of not rejecting H0 when it is false.
B) the probability of rejecting H0 when it is true.
C) the probability of not rejecting H0 when it is true.
D) the probability of rejecting H0 when it is false. - Answer-the probability of rejecting H0
when it is false.
The symbol for the power of a statistical test is
A) α.
B) 1 - α.
C) β.
D) 1 - β. - Answer-1 - β.
The symbol for the probability of committing a Type I error of a statistical test is
A) α.
B) 1 - α.
C) β.
D) 1 - β. - Answer-α.
The symbol for the level of significance of a statistical test is
A) α.
B) 1 - α.
C) β.
D) 1 - β. - Answer-α.
The symbol for the probability of committing a Type II error of a statistical test is
A) α.
B) 1 - α.
, C) β.
D) 1 - β. - Answer-β.
The symbol for the confidence coefficient of a statistical test is
A) α.
B) 1 - α.
C) β.
D) 1 - β. - Answer-1 - α.
Suppose we wish to test H0 : μ ≤ 47 versus H1 : μ > 47. What will result if we conclude
that the mean is greater than 47 when its true value is really 52?
A) We have made a Type I error.
B) We have made a Type II error.
C) We have made a correct decision.
D) None of the above are correct. - Answer-We have made a correct decision.
Which of the following statements is not true about the level of significance in a
hypothesis test?
A) The larger the level of significance, the more likely you are to reject the null
hypothesis.
B) The level of significance is the maximum risk we are willing to accept in making a
Type I error.
C) The significance level is also called the α level.
D) The significance level is another name for Type II error. - Answer-The significance
level is another name for Type II error.
If, as a result of a hypothesis test, you reject the null hypothesis when it is false, then
you have committed
A) a Type II error.
B) a Type I error.
C) no error.
D) an acceptance error. - Answer-no error.
The value that separates a rejection region from a non-rejection region is called the
________. - Answer-critical value
A ________ is a numerical quantity computed from the data of a sample and is used in
reaching a decision on whether or not to reject the null hypothesis.
A) significance level
B) critical value
C) test statistic
D) parameter - Answer-critical value
True or False: Suppose, in testing a hypothesis about a mean, the p-value is computed
to be 0.043. The null hypothesis should be rejected if the chosen level of significance is
0.05. - Answer-True