Exam 9: One-Sample Hypothesis Tests

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For a right-tailed test of hypothesis for a population mean with known σ,the test statistic was z = 1.79.The p-value is

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Given H0: μ ≥ 18 and H1: μ < 18,we would commit a Type I error if we

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The decision rule is

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A false positive in a drug test for steroids is a Type II error.

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Guidelines for the Jolly Blue Giant Health Insurance Company say that the average hospitalization for a triple hernia operation should not exceed 30 hours.A diligent auditor studied records of 16 randomly chosen triple hernia operations at Hackmore Hospital and found a mean hospital stay of 40 hours with a standard deviation of 20 hours."Aha!" she cried,"the average stay exceeds the guideline." The value of the test statistic for her hypothesis is

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In the hypothesis H0: π = π0,the value of π0 is derived from the sample.

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You are driving a van packed with camping gear (total weight 3,500 pounds including yourself and family)into a northern wilderness area.You take a "short cut" that turns into a one-lane road,with no room to turn around.After 11 miles you come to a narrow bridge with a faded sign saying,"Safe Up to 2 Tons." About a half-mile ahead,you can see that your road rejoins the main highway.You consider the sign's hypothesis carefully before making a decision.The cost of Type I error is

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The level of significance is not

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Regarding the probability of Type I error (α)and Type II error (β),which statement is true?

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Last year,10 percent of all teenagers in Greenville purchased a new iPhone.This year,a sample of 260 randomly chosen Greenville teenagers showed that 39 had purchased a new iPhone.To test whether the percentage has risen,the p-value is approximately

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In testing the hypotheses H0: π ≤ π0,H1: π > π0,we would use a

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Which statement about α is not correct?

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For tests of a mean,if other factors are held constant,which statement is correct?

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After testing a hypothesis,we decided to reject the null hypothesis.Thus,we are exposed to

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"Currently,only 20 percent of arrested drug pushers are convicted," cried candidate Courageous Calvin in a campaign speech."Elect me and you'll see a big increase in convictions." A year after his election,a random sample of 144 case files of arrested drug pushers showed 36 convictions.For a right-tailed test,the p-value is approximately

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Which of the following decisions could result in a Type II error for a test?

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Which of the following is incorrect?

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Hypothesis tests for a mean using the critical value method require

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The probability of rejecting a true null hypothesis is the significance level of the test.

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Power is the probability of rejecting the null hypothesis when it is false and is equal to 1 − β.

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