**Title: Analyzing Differences in Cat Ownership Between Men and Women****Objective:**Examine the claim that the proportion of men who own cats is significantly different from the proportion of women who own cats using a significance level of 0.01.**Hypotheses:**- Null and alternative hypotheses choices: 1. \( H_0: \mu_M = \mu_F \), \( H_1: \mu_M > \mu_F \) 2. \( H_0: p_M = p_F \), \( H_1: p_M > p_F \) 3. \( H_0: \mu_M = \mu_F \), \( H_1: \mu_M \neq \mu_F \) 4. \( H_0: \mu_M = \mu_F \), \( H_1: \mu_M < \mu_F \) 5. \( H_0: p_M = p_F \), \( H_1: p_M < p_F \) 6. \( H_0: p_M = p_F \), \( H_1: p_M \neq p_F \)**Test Type:**Choose the appropriate statistical test:- Two-tailed- Left-tailed- Right-tailed**Sample Data:**- From a sample of 40 men, 45% owned cats.- From a sample of 40 women, 55% owned cats.**Analysis:**- Calculate the test statistic (to 2 decimals).- Calculate the p-value (to 2 decimals).**Conclusion:**Decide based on the calculated p-value:- Reject the null hypothesis- Fail to reject the null hypothesisComplete the calculations to determine whether there is a statistically significant difference in cat ownership between men and women at the 0.01 significance level.

Given the 0.01 significance level.

Answered: men who own cats at the 0.01…

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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An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 100 engines and the mean pressure was 4.9 lbs/square inch. Assume the standard deviation is known to be 0.7. If the valve was designed to produce a mean pressure of 4.7 lbs/square inch, is there sufficient evidence at the 0.02 level that the valve performs above the specifications? State the null and alternative hypotheses for the above scenario.
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