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
icon
Related questions
Question

 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?

                 

  1. Is this a test for a population proportion or a population mean?
  2. What distribution is used to conduct this test?
  3. Is this a left-tailed, right-tailed, or two-tailed test?

 

  1. State AND verify all assumptions required for this test.

              [HINT: This test should have four assumptions to be verified.]

 

  1. State the null and alternate hypotheses for this test: (use correct symbols and format!)

 

                Null hypothesis : Ho:

              Alternate hypothesis : Ha:

  1. 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  :

 

  1. 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?

 

 

  1. 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.

 

 

 

 

 

 

Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman