Test the claim that the proportion of people who own cats is significantly different than 40% at the 0.1 significance level. The null and alternative hypothesis would be:   H0:μ=0.4H0:μ=0.4 Ha:μ≠0.4Ha:μ≠0.4 H0:μ≤0.4H0:μ≤0.4 Ha:μ>0.4Ha:μ>0.4 H0:p≤0.4H0:p≤0.4 Ha:p>0.4Ha:p>0.4 H0:μ≥0.4H0:μ≥0.4 Ha:μ<0.4Ha:μ<0.4 H0:p≥0.4H0:p≥0.4 Ha:p<0.4Ha:p<0.4 H0:p=0.4H0:p=0.4 Ha:p≠0.4Ha:p≠0.4 The test is:   right-tailed two-tailed left-tailed Based on a sample of 300 people, 41% owned cats The p-value is:  (to 2 decimals) Based on this we: Fail to reject the null hypothesis Reject the null hypothesis

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Test the claim that the proportion of people who own cats is significantly different than 40% at the 0.1 significance level.

The null and alternative hypothesis would be:

 

H0:μ=0.4H0:μ=0.4
Ha:μ≠0.4Ha:μ≠0.4
H0:μ≤0.4H0:μ≤0.4
Ha:μ>0.4Ha:μ>0.4
H0:p≤0.4H0:p≤0.4
Ha:p>0.4Ha:p>0.4
H0:μ≥0.4H0:μ≥0.4
Ha:μ<0.4Ha:μ<0.4
H0:p≥0.4H0:p≥0.4
Ha:p<0.4Ha:p<0.4
H0:p=0.4H0:p=0.4
Ha:p≠0.4Ha:p≠0.4



The test is:

 

right-tailed
two-tailed
left-tailed



Based on a sample of 300 people, 41% owned cats

The p-value is:  (to 2 decimals)

Based on this we:

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