A company knows from past experience that 50% of its employees have chosen to participate in a voluntary pre-tax savings plan. The company makes some changes to the plan and conducts a telephone survey of 100 randomly selected employees to ask if they will still participate in the plan with the new changes. 43 out of the 100 employees surveyed say that they will participate in the plan. The company wants to test the null hypothesis that the percentage of employees who will participate in the plan is unchanged from past years (50% of employees). (a) Carry out all the steps of the z test to evaluate the whether the percentage of employees who will participate in the plan is unchanged from past years. You should show the null and alternative

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

A company knows from past experience that 50% of its employees have chosen to
participate in a voluntary pre-tax savings plan. The company makes some changes
to the plan and conducts a telephone survey of 100 randomly selected employees
to ask if they will still participate in the plan with the new changes. 43 out of the 100
employees surveyed say that they will participate in the plan. The company wants
to test the null hypothesis that the percentage of employees who will participate in
the plan is unchanged from past years (50% of employees).

(a) Carry out all the steps of the z test to evaluate the whether the percentage of
employees who will participate in the plan is unchanged from past years. You
should show the null and alternative hypothesis, the box model, z-statistic, p-value
and state your conclusion in the context of the original problem. 

 

b) How does your conclusion change if our sample size had 400 instead of 100
employees, but still had 43% participating in the plan. 

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
  • SEE MORE 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