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Test the claim that the proportion of people who own cats is significantly different than 80% at the 0.2 significance level. The null and alternative hypothesis would be:   H0:μ=0.8H0:μ=0.8 H1:μ≠0.8H1:μ≠0.8 H0:p≥0.8H0:p≥0.8 H1:p<0.8H1:p<0.8 H0:p≤0.8H0:p≤0.8 H1:p>0.8H1:p>0.8 H0:μ≥0.8H0:μ≥0.8 H1:μ<0.8H1:μ<0.8 H0:μ≤0.8H0:μ≤0.8 H1:μ>0.8H1:μ>0.8 H0:p=0.8H0:p=0.8 H1:p≠0.8H1:p≠0.8 The test is:   two-tailed right-tailed left-tailed Based on a sample of 300 people, 74% owned cats The test statistic is:  (to 2 decimals) The p-value is:  (to 2 decimals) Based on this we: Fail to reject the null hypot

Test the claim that the proportion of people who own cats is significantly different than 80% at the 0.2 significance level. The null and alternative hypothesis would be:   H0:μ=0.8H0:μ=0.8 H1:μ≠0.8H1:μ≠0.8 H0:p≥0.8H0:p≥0.8 H1:p<0.8H1:p<0.8 H0:p≤0.8H0:p≤0.8 H1:p>0.8H1:p>0.8 H0:μ≥0.8H0:μ≥0.8 H1:μ<0.8H1:μ<0.8 H0:μ≤0.8H0:μ≤0.8 H1:μ>0.8H1:μ>0.8 H0:p=0.8H0:p=0.8 H1:p≠0.8H1:p≠0.8 The test is:   two-tailed right-tailed left-tailed Based on a sample of 300 people, 74% owned cats The test statistic is:  (to 2 decimals) The p-value is:  (to 2 decimals) Based on this we: Fail to reject the null hypot

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 10E
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 Test the claim that the proportion of people who own cats is significantly different than 80% at the 0.2 significance level.

The null and alternative hypothesis would be:

 

H0:μ=0.8H0:μ=0.8
H1:μ≠0.8H1:μ≠0.8
H0:p≥0.8H0:p≥0.8
H1:p<0.8H1:p<0.8
H0:p≤0.8H0:p≤0.8
H1:p>0.8H1:p>0.8
H0:μ≥0.8H0:μ≥0.8
H1:μ<0.8H1:μ<0.8
H0:μ≤0.8H0:μ≤0.8
H1:μ>0.8H1:μ>0.8
H0:p=0.8H0:p=0.8
H1:p≠0.8H1:p≠0.8



The test is:

 

two-tailed
right-tailed
left-tailed



Based on a sample of 300 people, 74% owned cats

The test statistic is:  (to 2 decimals)

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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