Test the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.2 significance level. The null and alternative hypothesis would be: H0:pM≥pFH0:pM≥pF H1:pMμFH1:μM>μF H0:pM≤pFH0:pM≤pF H1:pM>pFH1:pM>pF H0:pM=pFH0:pM=pF H1:pM≠pFH1:pM≠pF H0:μM=μFH0:μM=μF H1:μM≠μFH1:μM≠μF H0:μM≥μFH0:μM≥μF H1:μM<μFH1:μM<μF The test is left-tailed right-tailed two-tailed Based on a sample of 40 men, 20% owned cats Based on a sample of 40 women, 50% owned cats positive Critical Value = [three decimal accuracy] Test Statistic = [three decimal accuracy] Based on this we: Reject the null hypothesis Fail to reject the null hypothesis
Test the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.2 significance level. The null and alternative hypothesis would be: H0:pM≥pFH0:pM≥pF H1:pMμFH1:μM>μF H0:pM≤pFH0:pM≤pF H1:pM>pFH1:pM>pF H0:pM=pFH0:pM=pF H1:pM≠pFH1:pM≠pF H0:μM=μFH0:μM=μF H1:μM≠μFH1:μM≠μF H0:μM≥μFH0:μM≥μF H1:μM<μFH1:μM<μF The test is left-tailed right-tailed two-tailed Based on a sample of 40 men, 20% owned cats Based on a sample of 40 women, 50% owned cats positive Critical Value = [three decimal accuracy] Test Statistic = [three decimal accuracy] 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
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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15. Test the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.2 significance level.
The null and alternative hypothesis would be:
H0:pM≥pFH0:pM≥pF
H1:pM<pFH1:pM<pF H0:μM≤μFH0:μM≤μF
H1:μM>μFH1:μM>μF H0:pM≤pFH0:pM≤pF
H1:pM>pFH1:pM>pF H0:pM=pFH0:pM=pF
H1:pM≠pFH1:pM≠pF H0:μM=μFH0:μM=μF
H1:μM≠μFH1:μM≠μF H0:μM≥μFH0:μM≥μF
H1:μM<μFH1:μM<μF |
The test is
left-tailed
right-tailed
two-tailed
Based on a sample of 40 men, 20% owned cats
Based on a sample of 40 women, 50% owned cats
positive Critical Value = | |
[three decimal accuracy] | |
Test Statistic = | |
[three decimal accuracy] |
Based on this we:
- Reject the null hypothesis
- Fail to reject the null hypothesis
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