Test the claim that the proportion of people who own cats is significantly different than 10% at the 0.05 significance level. The null and alternative hypothesis would be:   H0:p≥0.1�0:�≥0.1 H1:p<0.1�1:�<0.1 H0:p=0.1�0:�=0.1 H1:p≠0.1�1:�≠0.1 H0:μ≥0.1�0:�≥0.1 H1:μ<0.1�1:�<0.1 H0:μ≤0.1�0:�≤0.1 H1:μ>0.1�1:�>0.1 H0:p≤0.1�0:�≤0.1 H1:p>0.1�1:�>0.1 H0:μ=0.1�0:�=0.1 H1:μ≠0.1�1:�≠0.1 The test is:   left-tailed right-tailed two-tailed Based on a sample of 200 people, 18% 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 10% at the 0.05 significance level.

The null and alternative hypothesis would be:

 

H0:p≥0.1�0:�≥0.1
H1:p<0.1�1:�<0.1
H0:p=0.1�0:�=0.1
H1:p≠0.1�1:�≠0.1
H0:μ≥0.1�0:�≥0.1
H1:μ<0.1�1:�<0.1
H0:μ≤0.1�0:�≤0.1
H1:μ>0.1�1:�>0.1
H0:p≤0.1�0:�≤0.1
H1:p>0.1�1:�>0.1
H0:μ=0.1�0:�=0.1
H1:μ≠0.1�1:�≠0.1



The test is:

 

left-tailed
right-tailed
two-tailed



Based on a sample of 200 people, 18% 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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