Test the claim that the proportion of men who own cats is smaller than the proportion of women who own cats at the 0.05 significance level. The null and alternative hypothesis would be: Ho: HM На: рм # pr Hа: рм < pF На:рм < pғ Hа: рм > MF На:рм > pF На:рм + pr = µF Ho:µM µF Ho:PM = Pf Ho:µM = µF Ho:PM = PF Ho:PM = PF The test is: right-tailed left-tailed two-tailed Based on a sample of 80 men, 45% owned cats Based on a sample of 80 women, 55% owned cats The test statistic is: (to 2 decimals) The p-value is: (to 4 decimals) Based on this we: O Reject the null hypothesis Fail to reject the null hypothesis

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### Hypothesis Testing for Proportion of Cat Owners Among Men and Women

Test the claim that the proportion of men who own cats is smaller than the proportion of women who own cats at the 0.05 significance level.

### Null and Alternative Hypotheses:
The hypotheses are defined as follows:
- \( H_0: p_M = p_F \)
- \( H_a: p_M < p_F \)

### Test Type:
The test is:

- [ ] right-tailed
- [X] left-tailed
- [ ] two-tailed

### Sample Data:
- Based on a sample of 80 men, 45% owned cats.
- Based on a sample of 80 women, 55% owned cats.

### Test Statistic:
The test statistic calculation box is given for users to fill out the value (to 2 decimals).

### P-Value:
The p-value calculation box is provided for users to input the calculated value (to 4 decimals).

### Conclusion:
Based on the provided calculations, users have to decide whether to:

- [ ] Reject the null hypothesis
- [ ] Fail to reject the null hypothesis

---

Place the necessary values in the test statistic and p-value fields to finalize the hypothesis testing based on the given sample data and significance level.
Transcribed Image Text:### Hypothesis Testing for Proportion of Cat Owners Among Men and Women Test the claim that the proportion of men who own cats is smaller than the proportion of women who own cats at the 0.05 significance level. ### Null and Alternative Hypotheses: The hypotheses are defined as follows: - \( H_0: p_M = p_F \) - \( H_a: p_M < p_F \) ### Test Type: The test is: - [ ] right-tailed - [X] left-tailed - [ ] two-tailed ### Sample Data: - Based on a sample of 80 men, 45% owned cats. - Based on a sample of 80 women, 55% owned cats. ### Test Statistic: The test statistic calculation box is given for users to fill out the value (to 2 decimals). ### P-Value: The p-value calculation box is provided for users to input the calculated value (to 4 decimals). ### Conclusion: Based on the provided calculations, users have to decide whether to: - [ ] Reject the null hypothesis - [ ] Fail to reject the null hypothesis --- Place the necessary values in the test statistic and p-value fields to finalize the hypothesis testing based on the given sample data and significance level.
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