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 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). Do you Feel Better? Magnetic Insoles |Yes 14 No 40 Nonmagnetic Insoles |Yes 21 No 24 (a) Identify the claim and state Ho and Ha. The claim is "the proportion of subjects vwho feel better with magnetic insoles is those who feel better with nonmagnetic insoles." Let p, represent the population proportion for the magnetic insoles and p2 represent the population proportions for the nonmagnetic insoles. State Ho and H, Choose the correct answer below. OC. Ho: P <P2 O A. Ho: P1> P2 Hai P, SP2 O B. Hg: P, 2 P2 H P, <P2 D. Ho: P1 =P2 OF. Ho: P Sp2 O E. Ho: Pi * P2 H P1 = P2 Ha: P +P2 Ha: P 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< OB. OC. z> OD. 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. O Reject Hg because the test statistic is not in the rejection region. Fail to reject H, because the test statistic is not in the rejection region. Fail to reject H, because the test statistic is in the rejection region. Reject Hg 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 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). Do you Feel Better? Magnetic Insoles |Yes 14 No 40 Nonmagnetic Insoles |Yes 21 No 24 (a) Identify the claim and state Ho and Ha. The claim is "the proportion of subjects vwho feel better with magnetic insoles is those who feel better with nonmagnetic insoles." Let p, represent the population proportion for the magnetic insoles and p2 represent the population proportions for the nonmagnetic insoles. State Ho and H, Choose the correct answer below. OC. Ho: P <P2 O A. Ho: P1> P2 Hai P, SP2 O B. Hg: P, 2 P2 H P, <P2 D. Ho: P1 =P2 OF. Ho: P Sp2 O E. Ho: Pi * P2 H P1 = P2 Ha: P +P2 Ha: P 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< OB. OC. z> OD. 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. O Reject Hg because the test statistic is not in the rejection region. Fail to reject H, because the test statistic is not in the rejection region. Fail to reject H, because the test statistic is in the rejection region. Reject Hg 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.