MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Test the claim that the proportion of people who own cats is significantly different than 80% at the 0.01 significance level.

The alternative hypothesis would be:

 

μ<0.8μ<0.8
p>0.8p>0.8
μ>0.8μ>0.8
μ≠0.8μ≠0.8
p<0.8p<0.8
p≠0.8p≠0.8



The test is:

 

right-tailed
two-tailed
left-tailed



Based on a sample of 400 people, 71% 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 0.01 alpha level, I was unable to show that the proportion of people who own cats is significantly greater than 80 percent.
  • At the 0.01 alpha level, I was unable to show that the proportion of people who own cats is significantly different than 80 percent.
  • At the 0.01 alpha level, I was able to show that the proportion of people who own cats is significantly greater than 80 percent.
  • At the 0.01 alpha level, I was able to show that the proportion of people who own cats is significantly less than 80 percent.
  • At the 0.01 alpha level, I was unable to show that proportion of people who own cats is significantly less than 80 percent.
  • At the 0.01 alpha level, I was able to show that the proportion of people who own cats is equal to 80 percent.
  •  
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