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Test the claim that the proportion of people who own cats is larger than 20% at the 0.01 significance level. The null and alternative hypothesis would be:   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: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:p≤0.2H0:p≤0.2 H1:p>0.2H1:p>0.2 The test is:   left-tailed right-tailed two-tailed Based on a sample of 700 people, 27% owned cats The p-value is:  (to 2 decimals) Based on this we: Reject the null hypothesis Fail to reject the null hypothesis

Test the claim that the proportion of people who own cats is larger than 20% at the 0.01 significance level. The null and alternative hypothesis would be:   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: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:p≤0.2H0:p≤0.2 H1:p>0.2H1:p>0.2 The test is:   left-tailed right-tailed two-tailed Based on a sample of 700 people, 27% owned cats The p-value is:  (to 2 decimals) Based on this we: Reject the null hypothesis Fail to reject the null hypothesis

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 9E
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Test the claim that the proportion of people who own cats is larger than 20% at the 0.01 significance level.

The null and alternative hypothesis would be:

 

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: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:p≤0.2H0:p≤0.2
H1:p>0.2H1:p>0.2



The test is:

 

left-tailed
right-tailed
two-tailed



Based on a sample of 700 people, 27% 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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