In a 4-week study about the effectiveness of using magnetic insoles to treat plantar heel pain, 51 subjects wore magnetic insoles and 43 subjects wore nonmagnetic insoles. The results are shown at the right. At α=0.06, 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? A circle graph titled Magnetic Insoles is divided into two sectors with labels and approximate sizes as a percentage of a circle as follows: Yes, 15, 29.41 percent; No, 36, 70.59 percent. Magnetic Insoles Yes 15No 36 A circle graph titled Nonmagnetic Insoles is divided into two sectors with labels and approximate sizes as a percentage of a circle as follows: Yes, 21, 48.84 percent; No, 22, 51.16 percent. Nonmagnetic Insoles Yes 21No 22 (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is(are) 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.) (c) Find the standardized test statistic. z= (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 H0 because the test statistic is not in the rejection region. Fail to reject H0 because the test statistic is in the rejection region. Fail to reject H0 because the test statistic is not in the rejection region. Reject H0 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 6% significance level, there is insufficient evidence to reject the claim. B. At the 6% significance level, there is sufficient evidence to reject the claim. C. At the 6% significance level, there is insufficient evidence to support the claim. D. At the 6% 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, 51 subjects wore magnetic insoles and 43 subjects wore nonmagnetic insoles. The results are shown at the right. At α=0.06, 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? A circle graph titled Magnetic Insoles is divided into two sectors with labels and approximate sizes as a percentage of a circle as follows: Yes, 15, 29.41 percent; No, 36, 70.59 percent. Magnetic Insoles Yes 15No 36 A circle graph titled Nonmagnetic Insoles is divided into two sectors with labels and approximate sizes as a percentage of a circle as follows: Yes, 21, 48.84 percent; No, 22, 51.16 percent. Nonmagnetic Insoles Yes 21No 22 (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is(are) 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.) (c) Find the standardized test statistic. z= (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 H0 because the test statistic is not in the rejection region. Fail to reject H0 because the test statistic is in the rejection region. Fail to reject H0 because the test statistic is not in the rejection region. Reject H0 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 6% significance level, there is insufficient evidence to reject the claim. B. At the 6% significance level, there is sufficient evidence to reject the claim. C. At the 6% significance level, there is insufficient evidence to support the claim. D. At the 6% significance level, there is sufficient evidence to support the claim.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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8.4.1B. In a 4-week study about the effectiveness of using magnetic insoles to treat plantar heel pain,

subjects wore magnetic insoles and

subjects wore nonmagnetic insoles. The results are shown at the right. At

α=0.06,

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?

A circle graph titled Magnetic Insoles is divided into two sectors with labels and approximate sizes as a percentage of a circle as follows: Yes, 15, 29.41 percent; No, 36, 70.59 percent.

Magnetic Insoles

Yes 15No 36

A circle graph titled Nonmagnetic Insoles is divided into two sectors with labels and approximate sizes as a percentage of a circle as follows: Yes, 21, 48.84 percent; No, 22, 51.16 percent.

Nonmagnetic Insoles

Yes 21No 22

(b) Find the critical value(s) and identify the rejection region(s).

The critical value(s) is(are)

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.)

(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

because the test statistic

is not

in the rejection region.

Fail to reject

because the test statistic

in the rejection region.

Fail to reject

because the test statistic

is not

in the rejection region.

Reject

because the test statistic

in the rejection region.

(e) Interpret the decision in the context of the original claim.

Choose the correct answer below.

At the

significance level, there is

insufficient

evidence to reject the claim.

At the

significance level, there is

sufficient

evidence to reject the claim.

At the

significance level, there is

insufficient

evidence to support the claim.

At the

significance level, there is

sufficient

evidence to support the claim.

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