In a 4-week study about the effectiveness of Do you Feel Better? using magnetic insoles to treat plantar heel pain, 55 subjects wore magnetic insoles and 44 subjects wore nonmagnetic insoles. The results are shown at the right. At a = 0.05, 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 Magnetic Insoles IYes 15 No 40 Nonmagnetic Insoles Yes 20 INo 24 (a) Identify the claim and state Ho and Ha. The claim is "the proportion of subjects who feel better with magnetic insoles is V 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. OC. Ho: P1 > P2 Ha: P1 SP2 OF. Ho: P1 2P2 Ha: P1 P2 OD. Ho: P1 OB. OC. z< O D. 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 Ho because the test statistic is in the rejection region. O Fail to reject Ho because the test statistic is in the rejection region. O Reject Ho because the test statistic is not in the rejection region. O Fail to reject Ho because the test statistic is not in the rejection region. (e) Interpret the decision in the context of the original claim. Choose the correct answer below. O A. At the 5% significance level, there is insufficient evidence to reject the claim. OB. At the 5% significance level, there is insufficient evidence to support the claim. OC. At the 5% significance level, there is sufficient evidence to support the claim. OD. At the 5% significance level, there is sufficient evidence to reject the claim.
In a 4-week study about the effectiveness of Do you Feel Better? using magnetic insoles to treat plantar heel pain, 55 subjects wore magnetic insoles and 44 subjects wore nonmagnetic insoles. The results are shown at the right. At a = 0.05, 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 Magnetic Insoles IYes 15 No 40 Nonmagnetic Insoles Yes 20 INo 24 (a) Identify the claim and state Ho and Ha. The claim is "the proportion of subjects who feel better with magnetic insoles is V 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. OC. Ho: P1 > P2 Ha: P1 SP2 OF. Ho: P1 2P2 Ha: P1 P2 OD. Ho: P1 OB. OC. z< O D. 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 Ho because the test statistic is in the rejection region. O Fail to reject Ho because the test statistic is in the rejection region. O Reject Ho because the test statistic is not in the rejection region. O Fail to reject Ho because the test statistic is not in the rejection region. (e) Interpret the decision in the context of the original claim. Choose the correct answer below. O A. At the 5% significance level, there is insufficient evidence to reject the claim. OB. At the 5% significance level, there is insufficient evidence to support the claim. OC. At the 5% significance level, there is sufficient evidence to support the claim. OD. At the 5% significance level, there is sufficient evidence to reject the claim.
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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In a 4-week study about the effectiveness of using magnetic insoles to treat plantar heelpain,
55
subjects wore magnetic insoles and
44
subjects wore nonmagnetic insoles. The results are shown at the right. At
α=0.05,
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 |
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