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
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Author:Amos Gilat
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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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