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A survey claims that 9 of 10 doctors recommend aspirin for their patients with headaches. To test this claim against the alternative, that the actual proportion of doctors who recommend aspirin is less than 0.90, a random sample of 100 doctors results in 83 who indicate that they recommend aspirin. What is the approximate value of the test statistic in this ?


A) -2.33
B) -1.86
C) -1.67
D) -0.14

E) B) and D)
F) B) and C)

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What is the p-value of a test?


A) It is the smallestat which the null hypothesis can be rejected.
B) It is the largestat which the null hypothesis can be rejected.
C) It is the smallestat which the null hypothesis cannot be rejected.
D) It is the largestat which the null hypothesis cannot be rejected.

E) All of the above
F) A) and B)

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When testing When testing vs. , the observed value of the z-score was found to be -2.15. What would the p-value for this test be? A) 0.0158 B) 0.0316 C) 0.9684 D) 0.9842 vs. When testing vs. , the observed value of the z-score was found to be -2.15. What would the p-value for this test be? A) 0.0158 B) 0.0316 C) 0.9684 D) 0.9842 , the observed value of the z-score was found to be -2.15. What would the p-value for this test be?


A) 0.0158
B) 0.0316
C) 0.9684
D) 0.9842

E) All of the above
F) A) and B)

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In selecting the sample size to estimate the population proportion p, if we have no knowledge of even the approximate values of the sample proportion In selecting the sample size to estimate the population proportion p, if we have no knowledge of even the approximate values of the sample proportion , what should we do? A) take another sample and estimate B) take two more samples and find the average of their's C) let= 0.50 D) let= 0.95 , what should we do?


A) take another sample and estimate
B) take two more samples and find the average of their's
C) let= 0.50
D) let= 0.95

E) B) and C)
F) B) and D)

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When is a Type I error committed?


A) when we reject a true null hypothesis
B) when we reject a false null hypothesis
C) when we don't reject a false null hypothesis
D) when we don't reject a true null hypothesis

E) B) and D)
F) A) and C)

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For a given data set and confidence level, the confidence interval of the population proportion p will be wider for 95% confidence than for 90% confidence.

A) True
B) False

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True

Which of the following p-values will lead us to reject the null hypothesis if the level of significance Which of the following p-values will lead us to reject the null hypothesis if the level of significance 0.05? A) 0.025 B) 0.05 C) 0.10 D) 0.20 0.05?


A) 0.025
B) 0.05
C) 0.10
D) 0.20

E) None of the above
F) A) and B)

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In a criminal trial, when is a Type I error committed?


A) when a guilty defendant is acquitted
B) when an innocent person is convicted
C) when a guilty defendant is convicted
D) when an innocent person is acquitted

E) None of the above
F) A) and D)

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Which of the following is an example of a null hypothesis?


A) This industrial process makes windshields having an average length equal to 33 inches.
B) The average quantity of detergent put into a box by this filling machine is not 1 pound.
C) This shipping company's average delivery time is different from 3 days.
D) The average thickness of aluminum sheets is not 0.03 inches, as required.

E) A) and B)
F) A) and C)

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A

When testing When testing vs. , an increase in the sample size will result in a decrease in the probability of committing a Type I error. vs. When testing vs. , an increase in the sample size will result in a decrease in the probability of committing a Type I error. , an increase in the sample size will result in a decrease in the probability of committing a Type I error.

A) True
B) False

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What would be the lower limit of a confidence interval, at the 95% level of confidence, for the population proportion if a sample of size 200 had 40 successes?


A) 0.2554
B) 0.2465
C) 0.1535
D) 0.1446

E) None of the above
F) All of the above

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The necessary conditions having been met, a two-tailed test is being conducted to test the difference between two population means, but your statistical software provides only a one-tail area of 0.156 as part of its output. The p-value for this test will be 0.078.

A) True
B) False

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In testing the hypothesis In testing the hypothesis , the following information is known: n = 64, = 78, and = 10. In this case, what is the value of the test statistic? A) +2.4 B) +1.96 C) -1.96 D) -2.4 , the following information is known: n = 64, In testing the hypothesis , the following information is known: n = 64, = 78, and = 10. In this case, what is the value of the test statistic? A) +2.4 B) +1.96 C) -1.96 D) -2.4 = 78, and In testing the hypothesis , the following information is known: n = 64, = 78, and = 10. In this case, what is the value of the test statistic? A) +2.4 B) +1.96 C) -1.96 D) -2.4 = 10. In this case, what is the value of the test statistic?


A) +2.4
B) +1.96
C) -1.96
D) -2.4

E) B) and D)
F) C) and D)

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If you wish to estimate the difference between two population means using two independent large samples, the 90% confidence interval estimate can be constructed using which of the following critical values?


A) 2.33
B) 1.96
C) 1.645
D) 1.28

E) C) and D)
F) B) and C)

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The p-value for a hypothesis test is set up by the decision maker to minimize the probability of committing a Type I error.

A) True
B) False

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False

Increasing the sizes of the samples in a study to estimate the difference between two population means will increase the probability of committing a Type I error.

A) True
B) False

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The width of a confidence interval estimate for a proportion will be narrower for 99% confidence than for 95% confidence.

A) True
B) False

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In hypothesis testing, the statement of the null hypothesis always contains the equality sign.

A) True
B) False

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The necessary conditions having been met, a two-tailed test is being conducted to test the difference between two population proportions. If the value of the test statistic is 2.05, what is the p-value?


A) 0.4798
B) 0.2399
C) 0.0404
D) 0.0202

E) C) and D)
F) B) and C)

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If a hypothesis test is to be conducted using If a hypothesis test is to be conducted using = 0.025, what does that imply about the test? A) There is a 2.5% chance that the null hypothesis is true. B) There is a maximum 2.5% chance that a false null hypothesis will be rejected. C) There is a maximum 2.5% chance that a true null hypothesis will be rejected. D) There is 2.5% chance of committing a Type I error and 97.5% chance of committing a Type II error. = 0.025, what does that imply about the test?


A) There is a 2.5% chance that the null hypothesis is true.
B) There is a maximum 2.5% chance that a false null hypothesis will be rejected.
C) There is a maximum 2.5% chance that a true null hypothesis will be rejected.
D) There is 2.5% chance of committing a Type I error and 97.5% chance of committing a Type II error.

E) A) and C)
F) A) and B)

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