Test the claim that the proportion of men who own cats is smaller than 70% at the 0.05 significance level. The null and alternative hypothesis would be: H0:p≤0.7H0:p≤0.7 H1:p>0.7H1:p>0.7 H0:μ=0.7H0:μ=0.7 H1:μ≠0.7H1:μ≠0.7 H0:p=0.7H0:p=0.7 H1:p≠0.7H1:p≠0.7 H0:μ≥0.7H0:μ≥0.7 H1:μ<0.7H1:μ<0.7 H0:μ≤0.7H0:μ≤0.7 H1:μ>0.7H1:μ>0.7 H0:p≥0.7H0:p≥0.7 H1:p<0.7H1:p<0.7 The test is: right-tailed two-tailed left-tailed Based on a sample of 800 people, 67% owned cats The test statistic is:  (to 2 decimals) The critical value is:  (to 2 decimals) Based on this we: Fail to reject the null hypothesis Reject

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Test the claim that the proportion of men who own cats is smaller than 70% at the 0.05 significance level.

The null and alternative hypothesis would be:

H0:p≤0.7H0:p≤0.7
H1:p>0.7H1:p>0.7
H0:μ=0.7H0:μ=0.7
H1:μ≠0.7H1:μ≠0.7
H0:p=0.7H0:p=0.7
H1:p≠0.7H1:p≠0.7
H0:μ≥0.7H0:μ≥0.7
H1:μ<0.7H1:μ<0.7
H0:μ≤0.7H0:μ≤0.7
H1:μ>0.7H1:μ>0.7
H0:p≥0.7H0:p≥0.7
H1:p<0.7H1:p<0.7



The test is:

right-tailed
two-tailed
left-tailed



Based on a sample of 800 people, 67% owned cats

The test statistic is:  (to 2 decimals)

The critical value is:  (to 2 decimals)

Based on this we:

  • Fail to reject the null hypothesis
  • Reject the null hypothesis
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