In a 4-week study about the effectiveness of using magnetic insoles to treat plantar heel pain,...
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In a 4-week study about the effectiveness of using magnetic insoles to treat plantar heel pain, 54 subjects wore magnetic insoles and 45 subjects wore nonmagnetic insoles. The results are shown at the right. At a = 0.09, can you support Do you Feel Better? Magnetic Insoles Yes 14 O No 40 the claim that there is a difference in the proportion of subjects who feel better between the two groups? Assume the random samples are independent. Complete parts (a) through (e). Nonmagnetic Insoles Yes 21 No 24 (a) Identify the claim and state H, and Ha. The claim is "the proportion of subjects who feel better with magnetic insoles is those who feel better with nonmagnetic insoles." Let p, represent the population proportion for the magnetic insoles and p, represent the population proportions for the nonmagnetic insoles. State Ho and Ha. Choose the correct answer below. O A. Ho: P1 > P2 Hai P1 SP2 О В. Но: Р12 Р2 Hai P1 <P2 O C. Ho: P1 <P2 Ha: P1 2 P2 OF. Ho: P1 SP2 Ha: P1 > P2 O D. Ho: P1 = P2 O E. Ho: P1 #P2 Ha: P1 = P2 Ha: P1 #P2 (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is(are). (Use a comma to separate answers as needed. Type an integer or a decimal. Round to two decimal places as needed.) Identify the rejection region(s). Select the correct choice below and fill in the answer box(es) within your choice. (Round to two decimal places as needed.) O A. z< O B. <z< O C. z> O D. z< and z> (c) Find the standardized test statistic. (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below. Reject Ho because the test statistic is not in the rejection region. Fail to reject Ho because the test statistic is not in the rejection region. Fail to reject H, because the test statistic is in the rejection region. Reject H, because the test statistic is in the rejection region. (e) Interpret the decision in the context of the original claim. Choose the correct answer below. A. At the 9% significance level, there is sufficient evidence to reject the claim. B. At the 9% significance level, there is insufficient evidence to support the claim. C. At the 9% significance level, there is insufficient evidence to reject the claim. D. At the 9% significance level, there is sufficient evidence to support the claim. In a 4-week study about the effectiveness of using magnetic insoles to treat plantar heel pain, 54 subjects wore magnetic insoles and 45 subjects wore nonmagnetic insoles. The results are shown at the right. At a = 0.09, can you support Do you Feel Better? Magnetic Insoles Yes 14 O No 40 the claim that there is a difference in the proportion of subjects who feel better between the two groups? Assume the random samples are independent. Complete parts (a) through (e). Nonmagnetic Insoles Yes 21 No 24 (a) Identify the claim and state H, and Ha. The claim is "the proportion of subjects who feel better with magnetic insoles is those who feel better with nonmagnetic insoles." Let p, represent the population proportion for the magnetic insoles and p, represent the population proportions for the nonmagnetic insoles. State Ho and Ha. Choose the correct answer below. O A. Ho: P1 > P2 Hai P1 SP2 О В. Но: Р12 Р2 Hai P1 <P2 O C. Ho: P1 <P2 Ha: P1 2 P2 OF. Ho: P1 SP2 Ha: P1 > P2 O D. Ho: P1 = P2 O E. Ho: P1 #P2 Ha: P1 = P2 Ha: P1 #P2 (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is(are). (Use a comma to separate answers as needed. Type an integer or a decimal. Round to two decimal places as needed.) Identify the rejection region(s). Select the correct choice below and fill in the answer box(es) within your choice. (Round to two decimal places as needed.) O A. z< O B. <z< O C. z> O D. z< and z> (c) Find the standardized test statistic. (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below. Reject Ho because the test statistic is not in the rejection region. Fail to reject Ho because the test statistic is not in the rejection region. Fail to reject H, because the test statistic is in the rejection region. Reject H, because the test statistic is in the rejection region. (e) Interpret the decision in the context of the original claim. Choose the correct answer below. A. At the 9% significance level, there is sufficient evidence to reject the claim. B. At the 9% significance level, there is insufficient evidence to support the claim. C. At the 9% significance level, there is insufficient evidence to reject the claim. D. At the 9% significance level, there is sufficient evidence to support the claim.
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Related Book For
Income Tax Fundamentals 2015
ISBN: 9781305177772
33rd edition
Authors: Gerald E. Whittenburg, Martha Altus-Buller, Steven Gill
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