Company records indicate that less than 12% of employees commute to work using public transportation. You suspect this is incorrect and for a sample of 169 employees, and find that 5% of them take public transportation to work. Test the claim using a 10% level of significance. What type of test will be used in this problem?   What evidence justifies the use of this test? Check all that apply np>5 and nq>5   The sample size is larger than 30 There are two different samples being compared The population standard deviation is not known The original population is approximately normal The population standard deviation is known The sample standard deviation is not known Enter the null hypothesis for this test. H0: Enter the alternative hypothesis for this test. H1: Is the original claim located in the null or alternative hypothesis? What is the test statistic for the given statistics? What is the p-value for this test? What is the decision based on the given statistics? What is the correct interpretation of this decision? Using a % level of significance, there sufficient evidence to the claim that less than 12% of employees commute to work using public transportation.

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
Topic Video
Question

Company records indicate that less than 12% of employees commute to work using public transportation. You suspect this is incorrect and for a sample of 169 employees, and find that 5% of them take public transportation to work. Test the claim using a 10% level of significance.

  1. What type of test will be used in this problem?

 



  • What evidence justifies the use of this test? Check all that apply
    • np>5

and nq>5

    •  
    • The sample size is larger than 30
    • There are two different samples being compared
    • The population standard deviation is not known
    • The original population is approximately normal
    • The population standard deviation is known
    • The sample standard deviation is not known


  • Enter the null hypothesis for this test.
    H0:


  • Enter the alternative hypothesis for this test.
    H1:


  • Is the original claim located in the null or alternative hypothesis?


  • What is the test statistic for the given statistics?


  • What is the p-value for this test?


  • What is the decision based on the given statistics?


  • What is the correct interpretation of this decision?

    Using a % level of significance, there

sufficient evidence to the claim that less than 12% of employees commute to work using public transportation.

 

Expert Solution
Step 1

Solution:

Given information:

n= 169  Sample size p=0.12 Population proportion p^=0.05 Sample proportion α=0.10 Level of significance 

 

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Proportions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
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