A well-known brokerage firm executive claimed that 10% of investors are currently confident of meeting theirinvestment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found that in a sampleof 800 people, 18% 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 0.01 significancelevel.The null and alternative hypothesis would be:0.1 Ho:p > 0.1 Ho:µ > 0.1 Họ:µ = 0.1 Ho:p < 0.1Ho: µ < 0.1 Ho:pH1: µ > 0.1 H1:p # 0.1 H1:p < 0.1 H1: µ < 0.1 H1:u + 0.1 H1:p > 0.1%3DThe test is:right-tailed left-tailed two-tailedThe test statistic is:(to 3 decimals)The p-value is:(to 4 decimals)Based on this we:O Reject the null hypothesisFail to reject the null hypothesis

Given : p= 0.1 n = 800 p^ = 0.18

Answered: A well-known brokerage firm executive…

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 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
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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 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 500 people, 86% 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 0.005 significance level.The null and alternative hypothesis would be: 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 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:p=0.9H0:p=0.9H1:p≠0.9H1:p≠0.9 The test is: two-tailed right-tailed left-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
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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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