est the claim that the proportion of men who own cats is smaller than the proportion of women who own cats at the .01 significance level. (a) The null and alternative hypothesis would be: H0:πM=πF H1:πM>πF H0:μM=μF H1:μM≠μF H0:πM=πF H1:πM<πF H0:μM=μF H1:μM>μF H0:πM=πF H1:πM≠πF H0:μM=μF H1:μM<μF (b) The test is: two-tailed left-tailed right-tailed (c) Based on a sample of 60 men, 45% owned cats. Based on a sample of 20 women, 50% owned cats. The standardized statistic is: (round to 2 decimal places) The p-value is: (round to 2 decimal places) (d) Based on this we: Fail to reject the null hypothesis Reject the null hypothesis
Test the claim that the proportion of men who own cats is smaller than the proportion of women who own cats at the .01 significance level.
(a) The null and alternative hypothesis would be:
- H0:πM=πF
H1:πM>πF
- H0:μM=μF
H1:μM≠μF
- H0:πM=πF
H1:πM<πF
- H0:μM=μF
H1:μM>μF
- H0:πM=πF
H1:πM≠πF
- H0:μM=μF
H1:μM<μF
(b) The test is:
- two-tailed
- left-tailed
- right-tailed
(c) Based on a sample of 60 men, 45% owned cats. Based on a sample of 20 women, 50% owned cats.
The standardized statistic is: (round to 2 decimal places)
The p-value is: (round to 2 decimal places)
(d) Based on this we:
- Fail to reject the null hypothesis
- Reject the null hypothesis
Given Information:
Claim: proportion of men who own cats is smaller than the proportion of women who own cats.
Significance level
Based on a sample of 60 men, 45% owned cats.
Based on a sample of 20 women, 50% owned cats.
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