Ha:p<0.25Ha:p<0.25 H0:μ=0.25H0:μ=0.25 Ha:μ<0.25Ha:μ<0.25 H0:p=0.25H0:p=0.25 Ha:p≠0.25Ha:p≠0.25 H0:μ=0.25H0:μ=0.25 Ha:μ>0.25Ha:μ>0.25 H0:p=0.25H0:p=0.25 Ha:p>0.25Ha:p>0.25 The test is:     left-tailed two-tailed right-tailed Based on a sample of 400 people, 80 owned cats   What is p̂ (to 2 decimal places)

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Test the claim that the proportion of people who own cats is significantly different than 25% at the 0.02 significance level.

The null and alternative hypothesis would be:

 

H0:μ=0.25H0:μ=0.25
Ha:μ≠0.25Ha:μ≠0.25
H0:p=0.25H0:p=0.25
Ha:p<0.25Ha:p<0.25
H0:μ=0.25H0:μ=0.25
Ha:μ<0.25Ha:μ<0.25
H0:p=0.25H0:p=0.25
Ha:p≠0.25Ha:p≠0.25
H0:μ=0.25H0:μ=0.25
Ha:μ>0.25Ha:μ>0.25
H0:p=0.25H0:p=0.25
Ha:p>0.25Ha:p>0.25



The test is:

 

 

left-tailed
two-tailed
right-tailed



Based on a sample of 400 people, 80 owned cats

 

What is p̂ (to 2 decimal places)?

 

The test statistic is:  (to 2 decimals)

The p-value is:  (to 4 decimals, if your p-value is less than 0.0001, you may enter 0))

Based on this we:

  • Fail to reject the null hypothesis
  • Reject the null hypothesis
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The test statistic is:  (to 2 decimals)

The p-value is:  (to 4 decimals, if your p-value is less than 0.0001, you may enter 0))

Based on this we:

  • Fail to reject the null hypothesis
  • Reject the null hypothesis
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