**Testing Proportions: Hypothesis Testing Example****Problem Statement:**Test the claim that the proportion of men who own cats is smaller than 80% at the 0.025 significance level.**Formulating Hypotheses:**The null and alternative hypotheses would be:- \(H_0: p = 0.8\)- \(H_1: p < 0.8\)**Identifying the Type of Test:**The test is:- left-tailed**Sample Data and Calculation:**Based on a sample of 80 people, 73% owned cats.**Calculations:**\[\text{The test statistic is:} \quad \_\_\_\_\_ \text{ (to 2 decimals)}\]\[\text{The critical value is:} \quad \_\_\_\_\_ \text{ (to 2 decimals)}\]**Decision Rule:**Based on this, we:- Reject the null hypothesis- Fail to reject the null hypothesis**Analysis Context:**To conduct the hypothesis test, we will use the proportion and sample size to calculate the test statistic. This will then be compared with the critical value at the given significance level of 0.025. Depending on the comparison, we will either reject or fail to reject the null hypothesis which posits that the proportion of men who own cats is 80%.

Name: **Testing Proportions: Hypothesis Testing Example****Problem Statemen
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Description: **Testing Proportions: Hypothesis Testing Example****Problem Statement:**Test the claim that the proportion of men who own cats is smaller than 80% at the 0.025 significance level.**Formulating Hypotheses:**The null and alternative hypotheses would

Given data: p = 0.8 Sample Proportion = .73 Sample size = 80 Significance level = 0.025

Math

Statistics

Test the claim that the proportion of men who own cats is smaller than 80% at the .025 significance level. The null and alternative hypothesis would be: = 0.8 Ho:p = 0.8 Ho: u = 0.8 Ho:p = 0.8 Ho: H Ні: > 0.8 Ні:р> 0.8 H:д + 0.8 Hі:р < 0.8 %3D Но: р — 0.8 Но: р — 0.8 H1: µ < 0.8 H1:p # 0.8 The test is: left-tailed two-tailed right-tailed Based on a sample of 80 people, 73% owned cats The test statistic is: (to 2 decimals) The critical value is: (to 2 decimals) Based on this we: Reject the null hypothesis Fail to reject the null hypothesis

Test the claim that the proportion of men who own cats is smaller than 80% at the .025 significance level. The null and alternative hypothesis would be: = 0.8 Ho:p = 0.8 Ho: u = 0.8 Ho:p = 0.8 Ho: H Ні: > 0.8 Ні:р> 0.8 H:д + 0.8 Hі:р < 0.8 %3D Но: р — 0.8 Но: р — 0.8 H1: µ < 0.8 H1:p # 0.8 The test is: left-tailed two-tailed right-tailed Based on a sample of 80 people, 73% owned cats The test statistic is: (to 2 decimals) The critical value is: (to 2 decimals) Based on this we: Reject the null hypothesis Fail to reject the null hypothesis

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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