Test the claim that the proportion of people who own cats is significantly different than 40% at the 0.05 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: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 The test is:   two-tailed left-tailed right-tailed Based on a sample of 700 people, 44% owned cats The test statistic is:  (to 2 decimals) 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
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 40% at the 0.05 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: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


The test is:

 

two-tailed
left-tailed
right-tailed


Based on a sample of 700 people, 44% owned cats

The test statistic is:  (to 2 decimals)

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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