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A research center claims that more than 26​% of employees in a certain country have changed jobs in the past three years. In a random sample of 240 people from that​ country, 72 have changed jobs in the past three years. At α=0.10​, is there enough evidence to support the​ center's claim?

A research center claims that more than 26​% of employees in a certain country have changed jobs in the past three years. In a random sample of 240 people from that​ country, 72 have changed jobs in the past three years. At α=0.10​, is there enough evidence to support the​ center's claim?

MATLAB: An Introduction with Applications
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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A research center claims that more than
26​%
of employees in a certain country have changed jobs in the past
three
years. In a random sample of
240
people from that​ country,
72
have changed jobs in the past
three
years. At
α=0.10​,
is there enough evidence to support the​ center's claim? Complete parts​ (a) through​ (e) below.
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: p< O B. Ho: p> OC. Ho: p# Hại p2 Ha: ps Ha: p= O D. Ho: p2 OE. Họ: p= O F. Ho: ps Ha:p< Ha: p# Ha: p> (b) Find the critical value(s) and identify the rejection region(s). Identify the critical value(s) for this test. Zo = 0 %3D (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 regions are z< and z> O B. The rejection region is z< OC. The rejection region is z> D. The rejection region is <z< (c) Find the standardized test statistic z. 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. the null hypothesis. There enough evidence to the center's claim. OO DO
Transcribed Image Text: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: p< O B. Ho: p> OC. Ho: p# Hại p2 Ha: ps Ha: p= O D. Ho: p2 OE. Họ: p= O F. Ho: ps Ha:p< Ha: p# Ha: p> (b) Find the critical value(s) and identify the rejection region(s). Identify the critical value(s) for this test. Zo = 0 %3D (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 regions are z< and z> O B. The rejection region is z< OC. The rejection region is z> D. The rejection region is <z< (c) Find the standardized test statistic z. 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. the null hypothesis. There enough evidence to the center's claim. OO DO
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