**Testing the Claim About Cat Ownership***Objective*: Test the claim that the proportion of people who own cats is smaller than 10% at the 0.025 significance level.**Hypotheses**:- Null Hypothesis \( (H_0) \): \( p \leq 0.1 \)- Alternative Hypothesis \( (H_1) \): \( p > 0.1 \)**Type of Test**:- The test is: Left-tailed**Sample Data**:- Based on a sample of 600 people, 5% owned cats.**P-value**:- The p-value is: [Blank space] (to 2 decimals)**Conclusion**:- Based on this we: - \( \circ \) Reject the null hypothesis - \( \circ \) Fail to reject the null hypothesis*Note*: The specific hypothesis notation offers multiple ways to express population parameters (\( \mu \), \( p \)) but the context indicates \( p \) represents proportion. For the purpose of this educational webpage, precise selection for hypotheses must consider the claim being tested.

given data claim :p<0.10α=0.025we have to complete the hypothesis testing for the given data,

Answered: Test the claim that the proportion of…

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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Test the claim that the proportion of people who own cats is larger than 20% at the 0.10 significance level.The null and alternative hypothesis would be: H0:p≤0.2H0:p≤0.2H1:p>0.2H1:p>0.2 H0:μ≥0.2H0:μ≥0.2H1:μ<0.2H1:μ<0.2 H0:p=0.2H0:p=0.2H1:p≠0.2H1:p≠0.2 H0:μ≤0.2H0:μ≤0.2H1:μ>0.2H1:μ>0.2 H0:p≥0.2H0:p≥0.2H1:p<0.2H1:p<0.2 H0:μ=0.2H0:μ=0.2H1:μ≠0.2H1:μ≠0.2 The test is: two-tailed left-tailed right-tailed Based on a sample of 700 people, 26% owned catsThe test statistic is: (to 2 decimals)The p-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 people who own cats is significantly different than 80% at the 0.1 significance level.The null and alternative hypothesis would be: H0:μ≥0.8H0:μ≥0.8H1:μ<0.8H1:μ<0.8 H0:μ=0.8H0:μ=0.8H1:μ≠0.8H1:μ≠0.8 H0:p=0.8H0:p=0.8H1:p≠0.8H1:p≠0.8 H0:μ≤0.8H0:μ≤0.8H1:μ>0.8H1:μ>0.8 H0:p≥0.8H0:p≥0.8H1:p<0.8H1:p<0.8 H0:p≤0.8H0:p≤0.8H1:p>0.8H1:p>0.8 The test is: left-tailed two-tailed right-tailed Based on a sample of 400 people, 77% owned catsThe test statistic is: (to 2 decimals)The p-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 the proportion of women who own cats at the .01 significance level. The null and alternative hypothesis would be: Ho: HM H1: HM µf Ho: µF H1: µM < µF H1:PM < PF H1:PM µF Ho:PM PF H1:HM # µF H1:PM # PF µF Ho: µM PF Ho: рм = PF Ho: :HM рм — PF The test is: left-tailed right-tailed two-tailed Based on a sample of 80 men, 35% owned cats Based on a sample of 80 women, 45% owned cats The test statistic is: (to 2 decimals) The critical value is: (to 2 decimals) Based on this we: Reject the null hypothesis O Fail to reject the null hypothesis
Test the claim that the proportion of men who own cats is significantly different than 80% at the 0.02 significance level.The null and alternative hypothesis would be: H0:μ=0.8H1:μ<0.8 H0:μ=0.8H1:μ>0.8 H0:p=0.8H1:p≠0.8 H0:p=0.8H1:p>0.8 H0:μ=0.8H1:μ≠0.8 H0:p=0.8H1:p<0.8 Based on a sample of 40 people, 73% owned catsThe test statistic is? (to 3 decimals)The positive critical value is? (to 2 decimals)Based on this we Fail to reject the null hypothesis Reject the null hypothesis
Please answer all sub-parts Test the claim that the proportion of people who own cats is larger than 10% at the 0.10 significance level.The null and alternative hypothesis would be: H0:μ=0.1H0:μ=0.1Ha:μ≠0.1Ha:μ≠0.1 H0:p=0.1H0:p=0.1Ha:p≠0.1Ha:p≠0.1 H0:μ≤0.1H0:μ≤0.1Ha:μ>0.1Ha:μ>0.1 H0:μ≥0.1H0:μ≥0.1Ha:μ<0.1Ha:μ<0.1 H0:p≥0.1H0:p≥0.1Ha:p<0.1Ha:p<0.1 H0:p≤0.1H0:p≤0.1Ha:p>0.1Ha:p>0.1 The test is: two-tailed right-tailed left-tailed Based on a sample of 500 people, 12% owned catsThe test statistic is: (Round to 2 decimals)The p-value is: (Round to 2 decimals)Based on this we: Reject the null hypothesis Do not reject the null hypothesis
Test the claim that the proportion of people who own cats is smaller than 50% at the 0.01 significance level.The null and alternative hypothesis would be: H0:p≥0.5H0:p≥0.5Ha:p<0.5Ha:p<0.5 H0:μ=0.5H0:μ=0.5Ha:μ≠0.5Ha:μ≠0.5 H0:μ≤0.5H0:μ≤0.5Ha:μ>0.5Ha:μ>0.5 H0:p≤0.5H0:p≤0.5Ha:p>0.5Ha:p>0.5 H0:p=0.5H0:p=0.5Ha:p≠0.5Ha:p≠0.5 H0:μ≥0.5H0:μ≥0.5Ha:μ<0.5Ha:μ<0.5 The test is: left-tailed two-tailed right-tailed Based on a sample of 100 people, 49% owned catsThe test statistic is: (Round to 2 decimals)The p-value is: (Round to 2 decimals)Based on this we:
Test the claim that the proportion of men who own cats is significantly different than 60% at the 0.02 significance level.The null and alternative hypothesis would be: H0:μ=0.6H0:μ=0.6H1:μ<0.6H1:μ<0.6 H0:p=0.6H0:p=0.6H1:p>0.6H1:p>0.6 H0:p=0.6H0:p=0.6H1:p<0.6H1:p<0.6 H0:μ=0.6H0:μ=0.6H1:μ≠0.6H1:μ≠0.6 H0:μ=0.6H0:μ=0.6H1:μ>0.6H1:μ>0.6 H0:p=0.6H0:p=0.6H1:p≠0.6H1:p≠0.6 The test is: two-tailed right-tailed left-tailed Based on a sample of 60 people, 66% owned catsThe test statistic is: (to 2 decimals)The positive 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 people who own cats is significantly different than 60% at the 0.01 significance level.The null and alternative hypothesis would be: H0:p≤0.6H0:p≤0.6H1:p>0.6H1:p>0.6 H0:μ≥0.6H0:μ≥0.6H1:μ<0.6H1:μ<0.6 H0:μ=0.6H0:μ=0.6H1:μ≠0.6H1:μ≠0.6 H0:p=0.6H0:p=0.6H1:p≠0.6H1:p≠0.6 H0:p≥0.6H0:p≥0.6H1:p<0.6H1:p<0.6 H0:μ≤0.6H0:μ≤0.6H1:μ>0.6H1:μ>0.6 Based on a sample of 600 people, 54% owned catsThe p-value is: (to 2 decimals)
Test the claim that the proportion of people who own cats is significantly different than 20% at the 0.02 significance level.The null and alternative hypothesis would be: H0:p=0.2H0:p=0.2H1:p≠0.2H1:p≠0.2 H0:μ≤0.2H0:μ≤0.2H1:μ>0.2H1:μ>0.2 H0:μ=0.2H0:μ=0.2H1:μ≠0.2H1:μ≠0.2 H0:μ≥0.2H0:μ≥0.2H1:μ<0.2H1:μ<0.2 H0:p≥0.2H0:p≥0.2H1:p<0.2H1:p<0.2 H0:p≤0.2H0:p≤0.2H1:p>0.2H1:p>0.2 Correct The test is: left-tailed two-tailed right-tailed Correct Based on a sample of 100 people, 29% owned catsThe test statistic is: (to 2 decimals)The p-value is: (to 2 decimals)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 significantly different than 20% at the 0.02 significance level. The null and alternative hypothesis would be: H0:p=0.2H0:p=0.2H1:p<0.2H1:p<0.2 H0:μ=0.2H0:μ=0.2H1:μ≠0.2H1:μ≠0.2 H0:μ=0.2H0:μ=0.2H1:μ>0.2H1:μ>0.2 H0:p=0.2H0:p=0.2H1:p≠0.2H1:p≠0.2 H0:μ=0.2H0:μ=0.2H1:μ<0.2H1:μ<0.2 H0:p=0.2H0:p=0.2H1:p>0.2H1:p>0.2 The test is: two-tailed right-tailed left-tailed
Test the claim that the proportion of people who own cats is significantly different than 80% at the 0.02 significance level. The null and alternative hypothesis would be: Ho:µ 0.8 Ho:p= 0.8 Ho:µ = 0.8 Ho:p > 0.8 H1:µ > 0.8 H1:p > 0.8 H1:µ < 0.8 H1:p 0.8 H1:µ + 0.8 H1:p < 0.8 The test is: two-tailed right-tailed left-tailed Based on a sample of 100 people, 84% owned cats (to 2 decimals) The p-value is: Based on this we: Fail to reject the null hypothesis Reject the null hypothesis
Test the claim that the mean GPA of night students is smaller than 2.3 at the 0.05 significance level.The null and alternative hypothesis would be: H0:μ≥2.3H0:μ≥2.3H1:μ<2.3H1:μ<2.3 H0:p=0.575H0:p=0.575H1:p≠0.575H1:p≠0.575 H0:μ=2.3H0:μ=2.3H1:μ≠2.3H1:μ≠2.3 H0:p≤0.575H0:p≤0.575H1:p>0.575H1:p>0.575 H0:μ≤2.3H0:μ≤2.3H1:μ>2.3H1:μ>2.3 H0:p≥0.575H0:p≥0.575H1:p<0.575H1:p<0.575 The test is: two-tailed left-tailed right-tailed Based on a sample of 30 people, the sample mean GPA was 2.26 with a standard deviation of 0.08The test statistic is: (to 2 decimals)The p-value is: (to 2 decimals)Based on this we: Fail to reject the null hypothesis Reject the null hypothesis

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