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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
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
H1:μ<0.2H1:μ<0.2
H0:p≥0.2H0:p≥0.2
H1:p<0.2H1:p<0.2
H1:p<0.2H1:p<0.2
H0:μ≤0.2H0:μ≤0.2
H1:μ>0.2H1:μ>0.2
H1:μ>0.2H1:μ>0.2
H0:μ=0.2H0:μ=0.2
H1:μ≠0.2H1:μ≠0.2
H1:μ≠0.2H1:μ≠0.2
H0:p=0.2H0:p=0.2
H1:p≠0.2H1:p≠0.2
H1:p≠0.2H1:p≠0.2
H0:p≤0.2H0:p≤0.2
H1:p>0.2H1: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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