est the claim that the proportion of people who own cats is smaller than 20% at the 0.10 significance level. The null and alternative hypothesis would be:   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 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 The test is:   left-tailed right-tailed two-tailed Correct Based on a sample of 600 people, 11% owned cats The p-value is:  (to 2 decimals) Based on this we: Reject the null hypothesis Fail to reject the null hypothesis

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
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Test the claim that the proportion of people who own cats is smaller than 20% at the 0.10 significance level.

The null and alternative hypothesis would be:

 

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
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



The test is:

 

left-tailed
right-tailed
two-tailed
Correct



Based on a sample of 600 people, 11% 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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