Test the claim that the proportion of people who own cats is significantly different than 20% at the 0.1 significance level. The alternative hypothesis would be: p≠0.2p≠0.2 μ≠0.2μ≠0.2 μ>0.2μ>0.2 μ<0.2μ<0.2 p<0.2p<0.2 p>0.2p>0.2
Test the claim that the proportion of people who own cats is significantly different than 20% at the 0.1 significance level. The alternative hypothesis would be: p≠0.2p≠0.2 μ≠0.2μ≠0.2 μ>0.2μ>0.2 μ<0.2μ<0.2 p<0.2p<0.2 p>0.2p>0.2
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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Test the claim that the proportion of people who own cats is significantly different than 20% at the 0.1 significance level.
The alternative hypothesis would be:
p≠0.2p≠0.2
μ≠0.2μ≠0.2
μ>0.2μ>0.2
μ<0.2μ<0.2
p<0.2p<0.2
p>0.2p>0.2
The test is:
two-tailed
right-tailed
left-tailed
Based on a sample of 300 people, 12% owned cats
The test statistic is: (to 2 decimals)
The p-value is: (to 2 decimals)
Based on this we:
- Reject the null hypothesis
- Fail to reject the null hypothesis
The conclusion is:
- At the 0.1 alpha level, I was able to show that the proportion of people who own cats is equal to 20 percent.
- At the 0.1 alpha level, I was able to show that the proportion of people who own cats is significantly greater than 20 percent.
- At the 0.1 alpha level, I was unable to show that the proportion of people who own cats is significantly different than 20 percent.
- At the 0.1 alpha level, I was unable to show that the proportion of people who own cats is significantly greater than 20 percent.
- At the 0.1 alpha level, I was able to show that the proportion of people who own cats is significantly less than 20 percent.
- At the 0.1 alpha level, I was unable to show that proportion of people who own cats is significantly less than 20 percent.
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