Test the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.05 significance level. The null and alternative hypothesis would be: 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:pM=pFH0:pM=pF H1:pMμFH1:μM>μF H0:μM=μFH0:μM=μF H1:μM≠μFH1:μM≠μF The test is: left-tailed right-tailed two-tailed
Test the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.05 significance level. The null and alternative hypothesis would be: 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:pM=pFH0:pM=pF H1:pMμFH1:μM>μF H0:μM=μFH0:μM=μF H1:μM≠μFH1:μM≠μF The test is: left-tailed right-tailed two-tailed
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Test the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.05 significance level. The null and alternative hypothesis would be:
H0:pM=pFH0:pM=pF
H1:pM≠pFH1:pM≠pF
H1:pM≠pFH1:pM≠pF
H0:pM=pFH0:pM=pF
H1:pM>pFH1:pM>pF
H1:pM>pFH1:pM>pF
H0:μM=μFH0:μM=μF
H1:μM<μFH1:μM<μF
H1:μM<μFH1:μM<μF
H0:pM=pFH0:pM=pF
H1:pM<pFH1:pM<pF
H1:pM<pFH1:pM<pF
H0:μM=μFH0:μM=μF
H1:μM>μFH1:μM>μF
H1:μM>μFH1:μM>μF
H0:μM=μFH0:μM=μF
H1:μM≠μFH1:μM≠μF
H1:μM≠μFH1:μM≠μF
The test is:
left-tailed
right-tailed
two-tailed
Based on a sample of 40 men, 25% owned cats
Based on a sample of 40 women, 30% owned cats The test statistic is: (to 2 decimals) The positive critical value is: (to 2 decimals) Based on this we:
- Fail to reject the null hypothesis
- Reject the null hypothesis
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