SHOP AT WORK, LOSE YOUR JOB? CareerBuilder.com conducted a survey of 2245 employers asking if they had fired an employee for shopping online while at work. 257 employers said they had fired an employee for online shopping while at work. A manager at a local recruiting agency claims that more than 10% of employers fire an employee for online shopping while at work. Does the sample data provide evidence to support this manager’s claim at α=.05? Is this a test for a population proportion or a population mean? What distribution is used to conduct this test? Is this a left-tailed, right-tailed, or two-tailed test?
SHOP AT WORK, LOSE YOUR JOB? CareerBuilder.com conducted a survey of 2245 employers asking if they had fired an employee for shopping online while at work. 257 employers said they had fired an employee for online shopping while at work. A manager at a local recruiting agency claims that more than 10% of employers fire an employee for online shopping while at work. Does the sample data provide evidence to support this manager’s claim at α=.05? Is this a test for a population proportion or a population mean? What distribution is used to conduct this test? Is this a left-tailed, right-tailed, or two-tailed test?
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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SHOP AT WORK, LOSE YOUR JOB?
CareerBuilder.com conducted a survey of 2245 employers asking if they had fired an employee for shopping online while at work. 257 employers said they had fired an employee for online shopping while at work. A manager at a local recruiting agency claims that more than 10% of employers fire an employee for online shopping while at work. Does the sample data provide evidence to support this manager’s claim at α=.05?
- Is this a test for a population proportion or a population mean?
- What distribution is used to conduct this test?
- Is this a left-tailed, right-tailed, or two-tailed test?
- State AND verify all assumptions required for this test.
[HINT: This test should have four assumptions to be verified.]
- State the null and alternate hypotheses for this test: (use correct symbols and format!)
Null hypothesis : Ho:
Alternate hypothesis : Ha:
- Run the correct hypothesis test and provide the information below. Give the correct symbols AND numeric value of each of the following (round answers to 3 decimal places).
Test Statistic:
Critical value [HINT: this is NOT ] :
p-value :
- State your statistical decision (Justify it using the p-value or critical value methods!) and interpret your decision within the context of the problem. What is your conclusion?
- Find a 95% confidence interval for the proportion of employers who fire employees shopping online at work. Interpret this interval in context to the manager’s claim above. (Hint: Does 10% lie in the interval?) Show calculator command and/or formula used to get answer.
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