Test the claim that the proportion of people who own cats is significantly different than 20% at the 0.2 significance level. The null and alternative hypothesis would be: H0:p≥0.2H0:p≥0.2...


Test the claim that the proportion of people who own cats is significantly different than 20% at the 0.2 significance level.


The null and alternative hypothesis would be:




H0:p≥0.2H0:p≥0.2
H1:p<><>

H0:μ=0.2H0:μ=0.2
H1:μ≠0.2H1:μ≠0.2

H0:p=0.2H0:p=0.2
H1:p≠0.2H1:p≠0.2

H0:μ≤0.2H0:μ≤0.2
H1:μ>0.2H1:μ>0.2

H0:p≤0.2H0:p≤0.2
H1:p>0.2H1:p>0.2

H0:μ≥0.2H0:μ≥0.2
H1:μ<><>






The test is:




two-tailed

right-tailed

left-tailed






Based on a sample of 200 people, 18% owned cats


The test statistic is:  (to 2 decimals)


The p-value is:  (to 4 decimals)


Based on this we:




  • Fail to reject the null hypothesis

  • Reject the null hypothesis




Jun 10, 2022
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