Test the claim that the proportion of people who own cats is smaller than 10% at the 0.025 significance level. The null and alternative hypothesis would be:   H0:μ≥0.1H0:μ≥0.1 Ha:μ<0.1Ha:μ<0.1 H0:p≤0.1H0:p≤0.1 Ha:p>0.1Ha:p>0.1 H0:μ≤0.1H0:μ≤0.1 Ha:μ>0.1Ha:μ>0.1 H0:μ=0.1H0:μ=0.1 Ha:μ≠0.1Ha:μ≠0.1 H0:p=0.1H0:p=0.1 Ha:p≠0.1Ha:p≠0.1 H0:p≥0.1H0:p≥0.1 Ha:p<0.1Ha:p<0.1 The test is:   right-tailed left-tailed two-tailed Based on a sample of 600 people, 2% owned cats The test statistic is:  (Round to 2 decimals) The p-value is:  (Round to 2 decimals) Based on this we: Do not reject the null hypothesis Reject the null hypothesis

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Test the claim that the proportion of people who own cats is smaller than 10% at the 0.025 significance level.

The null and alternative hypothesis would be:

 

  • H0:μ≥0.1H0:μ≥0.1
    Ha:μ<0.1Ha:μ<0.1
  • H0:p≤0.1H0:p≤0.1
    Ha:p>0.1Ha:p>0.1
  • H0:μ≤0.1H0:μ≤0.1
    Ha:μ>0.1Ha:μ>0.1
  • H0:μ=0.1H0:μ=0.1
    Ha:μ≠0.1Ha:μ≠0.1
  • H0:p=0.1H0:p=0.1
    Ha:p≠0.1Ha:p≠0.1
  • H0:p≥0.1H0:p≥0.1
    Ha:p<0.1Ha:p<0.1



The test is:

 

  • right-tailed
  • left-tailed
  • two-tailed



Based on a sample of 600 people, 2% owned cats

The test statistic is:  (Round to 2 decimals)

The p-value is:  (Round to 2 decimals)

Based on this we:

  • Do not reject the null hypothesis
  • Reject the null hypothesis
  •  
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