Test the claim that the proportion of men who own cats is smaller than 20% at the .025 significance level. **Statistical Analysis Example****Problem Context:**Based on a sample of 100 people, 13% owned cats.**Steps for Hypothesis Testing:**1. **Calculate the Test Statistic:** - Enter the calculated value in the provided space. - Ensure the value is rounded to 2 decimal places. **The test statistic is: [Input value] (to 2 decimals)**2. **Determine the Critical Value:** - Enter the critical value obtained from statistical tables or software. - Ensure the value is rounded to 2 decimal places. **The critical value is: [Input value] (to 2 decimals)**3. **Making a Decision:** - Compare the test statistic with the critical value to make an informed decision about the null hypothesis. - Based on this comparison, select one of the options below: **Based on this we:** - \(\bigcirc\) **Reject the null hypothesis** - \(\bigcirc\) **Fail to reject the null hypothesis****Explanation:**This process demonstrates how to perform hypothesis testing and interpret the results based on a given sample.

claim : proportion of men who own cats is smaller than 20%significance level = 0.025Sample size : n…

Answered: Based on a sample of 100 people, 13%…

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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A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 309 people over the age of 55, 68 dream in black and white, and among 295 people under the age of 25, 15 dream in black and white. Use a 0.05 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. identify the test statistic? identify the p value ? 98% confidenc interaval? reject or not to reject and why?
Q: An online bookseller is considering selling an e-reader but will do so only if they have evidence that the proportion of customers who will likely purchase one is more than 0.4. Of a survey of 25 customers, 8 of them stated that they would likely purchase an e-reader. What should the bookseller do? Use a 5% significance level.
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Do male and female college students have the same distribution of living arrangements? Use a level of significance of 0.05. Suppose that 87 randomly selected male college students and 95 randomly selected female college students were asked about their living arrangements: dormitory, apartment, or other. The results are shown in Table. Do male and female college students have the same distribution of living arrangements? Dormitory Apartment Other Male 37 45 5 Female 38 37 20 What is the chi-square test-statistic for this data?χ2=
The mayor of a town believes that 32% of the residents favor annexation of a new bridge. A community group believes this is inaccurate and decides to perform a hypothesis test to dispute the mayor's claim. After information is gathered from 160 voters and a hypothesis test is completed, the group fails to reject the null hypothesis at the 0.01 level. What is the conclusion regarding the mayor's claim?
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Based on a sample of 100 people, 13% owned cats The test statistic is: The critical value is: Based on this we: O Reject the null hypothesis O Fail to reject the null hypothesis (to 2 decimals) (to 2 decimals)