Ans rejection region z z 005 1645 test statistic z

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ANS: Rejection region: z > z 0.05 = 1.645 Test statistic: z = 2.638 Conclusion: Reject H 0 . Yes, there is sufficient evidence at the 5% significance level that the mousetrap will produce a profit. PTS: 1 REF: SECTION 12.3 NAT: Analytic; Hypothesis Testing NARRBEGIN: Sinus Drug Sinus Drug A company claims that 10% of the users of a certain sinus drug experience drowsiness. In clinical studies of this sinus drug, 81 of the 900 subjects experienced drowsiness NARREND 117. {Sinus Drug Narrative} We want to test their claim and find out whether the actual percentage is not 10%. State the appropriate null and hypotheses. ANS: H 0 : p = 0.10, H 1 : p 0.10 PTS: 1 REF: SECTION 12.3 NAT: Analytic; Hypothesis Testing 118. {Sinus Drug Narrative} Is there enough evidence at the 5% significance level to infer that the competitor is correct? ANS: Rejection region: | z | > z 0.025 = 1.96 Test statistic: z = - 1.0 Conclusion: Don't reject H 0 . Not enough evidence at the 5% significance level to infer that the company is incorrect. PTS: 1 REF: SECTION 12.3 NAT: Analytic; Hypothesis Testing 119. {Sinus Drug Narrative} Compute the p -value of the test. ANS: p -value = 0.3174 PTS: 1 REF: SECTION 12.3 NAT: Analytic; Hypothesis Testing
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120. {Sinus Drug Narrative} Construct a 95% confidence interval estimate of the population proportion of the users of this allergy drug who experience drowsiness. ANS: . Thus, LCL = 0.071, and UCL = 0.109. PTS: 1 REF: SECTION 12.3 NAT: Analytic; Hypothesis Testing 121. {Sinus Drug Narrative} Explain how to use this confidence interval to test the hypotheses. ANS: Since the hypothesized value p 0 = 0.10 is included in this 95% confidence interval, we fail to reject H 0 at α = 0.05. PTS: 1 REF: SECTION 12.3 NAT: Analytic; Hypothesis Testing 122. As a manufacturer of guitars, a major corporation wants to estimate the proportion of guitar players who are right-handed. How many golfers must be surveyed if they want to be within 0.02, with a 95% confidence? a. Assume that there is no prior information that could be used as an estimate of . b. Assume that the manufacturer has an estimate of found from a previous study, which suggests that 75% of guitar players are right-handed. ANS: a. n = 2401 b. n = 1801 PTS: 1 REF: SECTION 12.3 NAT: Analytic; Hypothesis Testing
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