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.

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Description: 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

Answered: 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…

MATLAB: An Introduction with Applications

6th Edition

ISBN: 9781119256830

Author: Amos Gilat

Publisher: John Wiley & Sons Inc

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.

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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.

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:

$n = 169 S a m p l e s i z e p = 0.12 P o p u l a t i o n p r o p o r t i o n \hat{p} = 0.05 S a m p l e p r o p o r t i o n α = 0.10 L e v e l o f s i g n i f i c a n c e$

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