Test the claim that the proportion of men who own catsis larger than 20% at the .025 significance level.The null and alternative hypothesis would be:Ho:p = 0.2 Ho: µH1:p0.2 Но:р — 0.20.2 Hi:д < 0.2 Ні:р < 0.20.2 Но: рHo:p = 0.2 Ho : 4H1:p + 0.2 H1:4 > 0.2 H1:e # 0.20.2The test is:two-tailed right-tailed left-tailedBased on a sample of 4 people, 25% owned catsThe test statistic is:(to 2 decimals)The critical value is:(to 2 decimals)Based on this we:O Fail to reject the null hypothesisO Reject the null hypothesis

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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A veterinarian is interested in researching the proportion of men and women cat owners and believes that the proportion of men cat owners is significantly different than the proportion of women cat owners. The veterinarian decides to obtain two independent samples of men and women cat owners and finds from one sample of 80 men, 30% owned cats. In the second sample of 60 women, 55% owned cats. Test the veterinarian's belief at the α=0.05α=0.05 significance level. Preliminary: Is it safe to assume that nmen≤5%nmen≤5% of all men and nwomen≤5%nwomen≤5% of all women? Yes No Verify nˆp(1−ˆp)≥10.np^(1-p^)≥10. Round your answer to one decimal place.nmenˆp(1−ˆp)=nmenp^(1-p^)= nwomenˆp(1−ˆp)=nwomenp^(1-p^)= Test the claim: Determine the null and alternative hypotheses. H0H0: pmenpmen pwomenpwomen HaHa: pmenpmen pwomenpwomen The hypothesis test is left-tailed two-tailed right-tailed Determine the test statistic. Round to two decimal places.x=x= Find the pp-value.…
Independent random samples of 32 people living on the west side of a city and 30 people living on the east side of a city were taken to determine if the income levels of west side residents are significantly different from the income levels of east side residents. Given the testing statistics below, determine if the data provides sufficient evidence to conclude that the income levels of west side residents are significantly different from the income levels of east side residents, at the 2% significance level. H0:μw=μeHa:μw≠μe t0=2.364 t0.01=±2.099 Select the correct answer below: No; the test statistic is not between the critical values. No; the test statistic is between the critical values. Yes; the test statistic is not between the critical values. Yes; the test statistic is between the critical values.
A well-known brokerage firm executive claimed that 10% of investors are currently confident of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found that in a sample of 600 people, 1% of them said they are confident of meeting their goals.Test the claim that the proportion of people who are confident is smaller than 10% at the 0.025 significance level.The null and alternative hypothesis would be: H0:p≥0.1H1:p<0.1 H0:p=0.1 H1:p≠0.1 H0:μ≤0.1H1:μ>0.1 H0:μ=0.1H1:μ≠0.1 H0:p≤0.1H1:p>0.1 H0:μ≥0.1H1:μ<0.1 The test is: right-tailed two-tailed left-tailed The test statistic is: (to 3 decimals)The p-value is: (to 4 decimals)Based on this we: Fail to reject the null hypothesis Reject the null hypothesis
A well-known brokerage firm executive claimed that 40% of investors are currently confident of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found that in a sample of 400 people, 47% of them said they are confident of meeting their goals.Test the claim that the proportion of people who are confident is larger than 40% at the 0.01 significance level.The null and alternative hypothesis would be: H0:μ≤0.4H0:μ≤0.4H1:μ>0.4H1:μ>0.4 H0:p=0.4H0:p=0.4H1:p≠0.4H1:p≠0.4 H0:μ≥0.4H0:μ≥0.4H1:μ<0.4H1:μ<0.4 H0:p≥0.4H0:p≥0.4H1:p<0.4H1:p<0.4 H0:p≤0.4H0:p≤0.4H1:p>0.4H1:p>0.4 H0:μ=0.4H0:μ=0.4H1:μ≠0.4H1:μ≠0.4 The test is: right-tailed left-tailed two-tailed The test statistic is:  (to 3 decimals)The p-value is:  (to 4 decimals)Based on this we: Fail to reject the null hypothesis Reject the null hypothesis
A well-known brokerage firm executive claimed that 90% of investors are currently confident of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found that in a sample of 600 people, 82% of them said they are confident of meeting their goals.Test the claim that the proportion of people who are confident is smaller than 90% at the 0.025 significance level.The null and alternative hypothesis would be: H0:p=0.9H0:p=0.9H1:p>0.9H1:p>0.9 H0:p=0.9H0:p=0.9H1:p≠0.9H1:p≠0.9 H0:μ≥0.9H0:μ≥0.9H1:μ<0.9H1:μ<0.9 H0:μ=0.9H0:μ=0.9H1:μ≠0.9H1:μ≠0.9 H0:μ≤0.9H0:μ≤0.9H1:μ>0.9H1:μ>0.9 H0:p=0.9H0:p=0.9H1:p<0.9H1:p<0.9 The test is: left-tailed right-tailed two-tailed The test statistic is:  (to 3 decimals)The p-value is:  (to 4 decimals)Based on this we: Reject the null hypothesis Fail to reject the null hypothesis
A well-known brokerage firm executive claimed that 60% of investors are currently confident of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found that in a sample of 300 people, 65% of them said they are confident of meeting their goals.Test the claim that the proportion of people who are confident is larger than 60% at the 0.01 significance level.The null and alternative hypothesis would be: 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 H0:p≤0.6H0:p≤0.6H1:p>0.6H1:p>0.6 The test is: left-tailed two-tailed right-tailed The test statistic is:  (to 3 decimals)The p-value is:  (to 4 decimals)Based on this we: Reject the null hypothesis Fail to reject the null hypothesis
A well-known brokerage firm executive claimed that 90% of investors are currently confident of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found that in a sample of 100 people, 81% of them said they are confident of meeting their goals.Test the claim that the proportion of people who are confident is smaller than 90% at the 0.10 significance level.The null and alternative hypothesis would be: H0:p=0.9H0:p=0.9H1:p≠0.9H1:p≠0.9 H0:p≥0.9H0:p≥0.9H1:p<0.9H1:p<0.9 H0:μ≥0.9H0:μ≥0.9H1:μ<0.9H1:μ<0.9 H0:p≤0.9H0:p≤0.9H1:p>0.9H1:p>0.9 H0:μ=0.9H0:μ=0.9H1:μ≠0.9H1:μ≠0.9 H0:μ≤0.9H0:μ≤0.9H1:μ>0.9H1:μ>0.9 The test is: left-tailed two-tailed right-tailed The test statistic is:  (to 3 decimals)The p-value is:  (to 4 decimals)Based on this we:
A well-known brokerage firm executive claimed that 50% of investors are currently confident of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found that in a sample of 800 people, 49% of them said they are confident of meeting their goals.Test the claim that the proportion of people who are confident is smaller than 50% at the 0.01 significance level.The null and alternative hypothesis would be: H0:μ≤0.5H0:μ≤0.5 H1:μ>0.5H1:μ>0.5 H0:μ=0.5H0:μ=0.5 H1:μ≠0.5H1:μ≠0.5 H0:p≤0.5H0:p≤0.5 H1:p>0.5H1:p>0.5 H0:p=0.5H0:p=0.5 H1:p≠0.5H1:p≠0.5 H0:μ≥0.5H0:μ≥0.5 H1:μ<0.5H1:μ<0.5 H0:p≥0.5H0:p≥0.5 H1:p<0.5H1:p<0.5 The test is: right-tailed two-tailed left-tailed The test statistic is: ___?_____  (to 3 decimals)The p-value is: ___?___  (to 4 decimals)
A well-known brokerage firm executive claimed that 50% of investors are currently confident of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found that in a sample of 600 people, 56% of them said they are confident of meeting their goals.Test the claim that the proportion of people who are confident is larger than 50% at the 0.01 significance level.The null and alternative hypothesis would be: H0:p=0.5H0:p=0.5H1:p≠0.5H1:p≠0.5 H0:μ=0.5H0:μ=0.5H1:μ≠0.5H1:μ≠0.5 H0:p≤0.5H0:p≤0.5H1:p>0.5H1:p>0.5 H0:p≥0.5H0:p≥0.5H1:p<0.5H1:p<0.5 H0:μ≤0.5H0:μ≤0.5H1:μ>0.5H1:μ>0.5 H0:μ≥0.5H0:μ≥0.5H1:μ<0.5H1:μ<0.5 The test is: left-tailed two-tailed right-tailed The test statistic is:  (to 3 decimals)The p-value is: (to 4 decimals)Based on this we: Fail to reject the null hypothesis Reject the null hypothesis
A well-known brokerage firm executive claimed that 60% of investors are currently confident of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found that in a sample of 400 people, 52% of them said they are confident of meeting their goals.Test the claim that the proportion of people who are confident is smaller than 60% at the 0.10 significance level.The null and alternative hypothesis would be: H0:μ≤0.6H1:μ>0.6 H0:p≤0.6H1:p>0.6 H0:μ=0.6H1:μ≠0.6 H0:p≥0.6H1:p<0.6 H0:p=0.6H1:p≠0.6 H0:μ≥0.6H1:μ<0.6 The test is: left-tailed two-tailed right-tailed The test statistic is: (to 3 decimals)The p-value is: (to 4 decimals)Based on this we: Fail to reject the null hypothesis Reject the null hypothesis
A well-known brokerage firm executive claimed that 10% of investors are currently confident of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found that in a sample of 200 people, 19% of them said they are confident of meeting their goals.Test the claim that the proportion of people who are confident is larger than 10% at the 0.005 significance level.The null and alternative hypothesis would be: H0:p≥0.1H0:p≥0.1H1:p<0.1H1:p<0.1 H0:p≤0.1H0:p≤0.1H1:p>0.1H1:p>0.1 H0:μ≤0.1H0:μ≤0.1H1:μ>0.1H1:μ>0.1 H0:p=0.1H0:p=0.1H1:p≠0.1H1:p≠0.1 H0:μ≥0.1H0:μ≥0.1H1:μ<0.1H1:μ<0.1 H0:μ=0.1H0:μ=0.1H1:μ≠0.1H1:μ≠0.1 The test is: two-tailed left-tailed right-tailed The test statistic is: (to 3 decimals)The p-value is: (to 4 decimals)Based on this we: Fail to reject the null hypothesis Reject the null hypothesis
A well-known brokerage firm executive claimed that 80% of investors are currently confident of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found that in a sample of 100 people, 79% of them said they are confident of meeting their goals.Test the claim that the proportion of people who are confident is smaller than 80% at the 0.025 significance level.The null and alternative hypothesis would be: 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: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:p≥0.8H0:p≥0.8H1:p<0.8H1:p<0.8 The test is: right-tailedtwo-tailedleft-tailed The test statistic is:_______________ (to 3 decimals)The p-value is:_____________ (to 4 decimals)

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