Test the claim that the proportion of people who own cats is smaller than 50% at the 0.01 significance level. The null and alternative hypothesis would be:   H0:p≥0.5H0:p≥0.5 Ha:p<0.5Ha:p<0.5 H0:μ=0.5H0:μ=0.5 Ha:μ≠0.5Ha:μ≠0.5 H0:μ≤0.5H0:μ≤0.5 Ha:μ>0.5Ha:μ>0.5 H0:p≤0.5H0:p≤0.5 Ha:p>0.5Ha:p>0.5 H0:p=0.5H0:p=0.5 Ha:p≠0.5Ha:p≠0.5 H0:μ≥0.5H0:μ≥0.5 Ha:μ<0.5Ha:μ<0.5 The test is:   left-tailed two-tailed right-tailed Based on a sample of 100 people, 49% owned cats The test statistic is:  (Round to 2 decimals) The p-value is:  (Round to 2 decimals

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Test the claim that the proportion of people who own cats is smaller than 50% at the 0.01 significance level.

The null and alternative hypothesis would be:

 

  • H0:p≥0.5H0:p≥0.5
    Ha:p<0.5Ha:p<0.5
  • H0:μ=0.5H0:μ=0.5
    Ha:μ≠0.5Ha:μ≠0.5
  • H0:μ≤0.5H0:μ≤0.5
    Ha:μ>0.5Ha:μ>0.5
  • H0:p≤0.5H0:p≤0.5
    Ha:p>0.5Ha:p>0.5
  • H0:p=0.5H0:p=0.5
    Ha:p≠0.5Ha:p≠0.5
  • H0:μ≥0.5H0:μ≥0.5
    Ha:μ<0.5Ha:μ<0.5



The test is:

 

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



Based on a sample of 100 people, 49% owned cats

The test statistic is:  (Round to 2 decimals)

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

Based on this we:

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