A research center claims that more than 31% of employees in a certain country have changed jobs in the past four years. In a random sample of 260 people from that country, 91 have changed jobs in the past four years. At a = 0.10, is there enough evidence to support the center's claim? Complete parts (a) through (e) below. (a) Identify the claim and state Ho and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice (Type an integer or a decimal. Do not round.) O A. % of employees in the country have changed jobs in the past four years. O B. At most % of employees in the country have changed jobs in the past four years. O C. The percentage of employees in the country who have changed jobs in the past four years is not O D. More than % of employees in the country have changed jobs in the past four years. Let p be the population proportion of successes, where a success is an employee in the country who has changed jobs in the past four years. State Ho and Ha. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) O A. Ho: ps O B. Ho: p2 OC. Ho: p> Ha p> Ha p< Ha: ps O D. Ho: p= O E. Ho: p< OF. Ho: p Hạ: p= Hạ: p2 Ha: p = (b) Find the critical value(s) and identify the rejection region(s). Identify the critical value(s) for this test. (Round to two decimal places as needed. Use a comma to separate answers as needed.) Identify the rejection region(s). Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to two decimal places as needed.) O A. The rejection region is O B. The rejection region is z< OC. The rejection region is z> O D. The rejection regions are z and 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 and (e) interpret the decision in the context of the original claim. v the null hypothesis. There V enough evidence to v the center's claim.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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A research center claims that more than 31% of employees in a certain country have changed jobs in the past four years. In a random sample of
260 people from that country, 91 have changed jobs in the past four years. At a = 0.10, is there enough evidence to support the center's claim?
Complete parts (a) through (e) below.
(a) Identify the claim and state Ho and Hg.
Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice.
(Type an integer or a decimal. Do not round.)
O A.
% of employees in the country have changed jobs in the past four years.
O B. At most
% of employees in the country have changed jobs in the past four years.
OC. The percentage of employees in the country who have changed jobs in the past four years is not
O D. More than
% of employees in the country have changed jobs in the past four years.
Let p be the population proportion of successes, where a success is an employee in the country who has changed jobs in the past four years.
State H, and Ha. Select the correct choice below and fill in the answer boxes to complete your choice.
(Round to two decimal places as needed.)
O A. Ho: ps
О В. Но р2
OC. Ho: p>
Ha p>
Ha: p<
Ha: ps
O D. Ho: p=
O E. Ho: p<
OF. Ho: pt
Hạ: p=
Hạ: p2
Hạ: p=
(b) Find the critical value(s) and identify the rejection region(s).
Identify the critical value(s) for this test.
(Round to two decimal places as needed. Use a comma to separate answers as needed.)
Identify the rejection region(s). Select the correct choice below and fill in the answer box(es) to complete your choice.
(Round to two decimal places as needed.)
O A. The rejection region is
O B. The rejection region is z<
Oc. The rejection region is z>
O D. The rejection regions are z<
and 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 and (e) interpret the decision in the context of the original claim.
v the null hypothesis. There
V enough evidence to
v the center's claim.
Transcribed Image Text:A research center claims that more than 31% of employees in a certain country have changed jobs in the past four years. In a random sample of 260 people from that country, 91 have changed jobs in the past four years. At a = 0.10, is there enough evidence to support the center's claim? Complete parts (a) through (e) below. (a) Identify the claim and state Ho and Hg. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) O A. % of employees in the country have changed jobs in the past four years. O B. At most % of employees in the country have changed jobs in the past four years. OC. The percentage of employees in the country who have changed jobs in the past four years is not O D. More than % of employees in the country have changed jobs in the past four years. Let p be the population proportion of successes, where a success is an employee in the country who has changed jobs in the past four years. State H, and Ha. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) O A. Ho: ps О В. Но р2 OC. Ho: p> Ha p> Ha: p< Ha: ps O D. Ho: p= O E. Ho: p< OF. Ho: pt Hạ: p= Hạ: p2 Hạ: p= (b) Find the critical value(s) and identify the rejection region(s). Identify the critical value(s) for this test. (Round to two decimal places as needed. Use a comma to separate answers as needed.) Identify the rejection region(s). Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to two decimal places as needed.) O A. The rejection region is O B. The rejection region is z< Oc. The rejection region is z> O D. The rejection regions are z< and 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 and (e) interpret the decision in the context of the original claim. v the null hypothesis. There V enough evidence to v the center's claim.
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