In a 4-week study about the effectiveness of using magnetic insoles to treat plantar heel pain, magnetic insoles and 47 subjects wore nonmagnetic insoles. The results are shown at the right. At a = 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? Magnetic Insoles subjects wore Yes 15 I No 36 Nonmagnetic Insoles Yes 20 I No 27 (a) Identify the claim and state Ho 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 p2 represent the population proportions for the nonmagnetic insoles. State Ho and Ha. Choose the correct answer below. O A. Ho: P1> P2 Ha: P1 SP2 O B. Ho: P1 =P2 Ha: P, #P2 OC. Ho: P1 *P2 Ha:P1 =P2 O D. Ho: 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. O B. z> OD. z< (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. O Reject Ho because the test statistic is not in the rejection region. O Fail to reject Ho because the test statistic is in the rejection region. O Fail to reject Ho because the test statistic is not in the rejection region. O Reject Ho because the test statistic is in the rejection region.
In a 4-week study about the effectiveness of using magnetic insoles to treat plantar heel pain, magnetic insoles and 47 subjects wore nonmagnetic insoles. The results are shown at the right. At a = 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? Magnetic Insoles subjects wore Yes 15 I No 36 Nonmagnetic Insoles Yes 20 I No 27 (a) Identify the claim and state Ho 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 p2 represent the population proportions for the nonmagnetic insoles. State Ho and Ha. Choose the correct answer below. O A. Ho: P1> P2 Ha: P1 SP2 O B. Ho: P1 =P2 Ha: P, #P2 OC. Ho: P1 *P2 Ha:P1 =P2 O D. Ho: 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. O B. z> OD. z< (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. O Reject Ho because the test statistic is not in the rejection region. O Fail to reject Ho because the test statistic is in the rejection region. O Fail to reject Ho because the test statistic is not in the rejection region. O Reject Ho because the test statistic is in the rejection region.
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ISBN:9781119256830
Author:Amos Gilat
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In a 4-week study about the effectiveness of using magnetic insoles to treat plantar heel pain, 51 subjects wore magnetic insoles and
47 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 twogroups? Assume the random samples are independent. Complete parts (a) through (e).
![In a 4-week study about the effectiveness of using magnetic
insoles to treat plantar heel pain, 51 subjects wore
magnetic insoles and 47 subjects wore nonmagnetic
insoles. The results are shown at the right. At a = 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?
Magnetic Insoles
Yes 15
No 36
Nonmagnetic Insoles
Yes 20
No 27
(a) Identify the claim and state Ho 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 p2 represent the population proportions for the nonmagnetic insoles. State Ho and Ha.
Choose the correct answer below.
O A. Ho: P1 > P2
Ha: P1SP2
O B. Ho: P1 = P2
Ha: P1 #P2
OC. Ho:P1 # P2
Ha: P1 = P2
O D. Ho: P1<P2
Ha: P12 P2
O E. Ho: P12 P2
Ha: P1 <P2
O F. Ho: P1 SP2
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.)
A.
O B. z>
<z<
C. z<
and 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.
Reject Ho because the test statistic is not in the rejection region.
Fail to reject Ho because the test statistic is in the rejection region.
Fail to reject Ho because the test statistic is not in the rejection region.
Reject Ho because the test statistic is in the rejection region.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5e387f61-0cb9-4ecc-afd9-adf2f5ba7205%2Ff1fd307b-704b-47c1-82ae-2897c4c739f2%2Fcw1o5y_processed.png&w=3840&q=75)
Transcribed Image Text:In a 4-week study about the effectiveness of using magnetic
insoles to treat plantar heel pain, 51 subjects wore
magnetic insoles and 47 subjects wore nonmagnetic
insoles. The results are shown at the right. At a = 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?
Magnetic Insoles
Yes 15
No 36
Nonmagnetic Insoles
Yes 20
No 27
(a) Identify the claim and state Ho 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 p2 represent the population proportions for the nonmagnetic insoles. State Ho and Ha.
Choose the correct answer below.
O A. Ho: P1 > P2
Ha: P1SP2
O B. Ho: P1 = P2
Ha: P1 #P2
OC. Ho:P1 # P2
Ha: P1 = P2
O D. Ho: P1<P2
Ha: P12 P2
O E. Ho: P12 P2
Ha: P1 <P2
O F. Ho: P1 SP2
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.)
A.
O B. z>
<z<
C. z<
and 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.
Reject Ho because the test statistic is not in the rejection region.
Fail to reject Ho because the test statistic is in the rejection region.
Fail to reject Ho because the test statistic is not in the rejection region.
Reject Ho because the test statistic is in the rejection region.
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