Test the claim that the proportion of people who own cats is significantly different than 40% at the 0.01 significance level. The null and alternative hypothesis would be:   H0:p=0.4H0:p=0.4 H1:p≠0.4H1:p≠0.4 H0:μ≤0.4H0:μ≤0.4 H1:μ>0.4H1:μ>0.4 H0:p≤0.4H0:p≤0.4 H1:p>0.4H1:p>0.4 H0:p≥0.4H0:p≥0.4 H1:p<0.4H1:p<0.4 H0:μ≥0.4H0:μ≥0.4 H1:μ<0.4H1:μ<0.4 H0:μ=0.4H0:μ=0.4 H1:μ≠0.4H1:μ≠0.4 The test is:   two-tailed left-tailed right-tailed Based on a sample of 100 people, 48% owned cats The p-value is:  (to 2 decimals) Based on this we: Reject the null hypothesis Fail to 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 0.01 significance level.

The null and alternative hypothesis would be:

 

H0:p=0.4H0:p=0.4
H1:p≠0.4H1:p≠0.4
H0:μ≤0.4H0:μ≤0.4
H1:μ>0.4H1:μ>0.4
H0:p≤0.4H0:p≤0.4
H1:p>0.4H1:p>0.4
H0:p≥0.4H0:p≥0.4
H1:p<0.4H1:p<0.4
H0:μ≥0.4H0:μ≥0.4
H1:μ<0.4H1:μ<0.4
H0:μ=0.4H0:μ=0.4
H1:μ≠0.4H1:μ≠0.4



The test is:

 

two-tailed
left-tailed
right-tailed

Based on a sample of 100 people, 48% owned cats

The p-value is:  (to 2 decimals)

Based on this we:

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