Question 17: 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 0.05 significance level.The null and alternative hypothesis would be: H0:p≤0.9H0:p≤0.9H1:p>0.9H1:p>0.9H0:μ≤0.9H0:μ≤0.9H1:μ>0.9H1:μ>0.9H0:μ≥0.9H0:μ≥0.9H1:μ<0.9H1:μ<0.9H0:μ=0.9H0:μ=0.9H1:μ≠0.9H1:μ≠0.9H0:p=0.9H0:p=0.9H1:p≠0.9H1:p≠0.9H0:p≥0.9H0:p≥0.9H1:p<0.9H1:p<0.9The test is: two-tailedright-tailedleft-tailedThe test statistic is: (to 3 decimals)The p-value is: (to 4 decimals)Based on this we:Fail to reject the null hypothesisReject the null hypothesis A well-known brokerage firm executive claimed that 90% of investors are currently confident of meetingtheir investment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found that ina 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 0.05 significancelevel.The null and alternative hypothesis would be:Ho p ≤ 0.9 Ho: ≤0.9 Ho: ≥ 0.9 Ho : 0.9 Ho:p= 0.9 Ho:p> 0.9H₁:p> 0.9 H₁> 0.9 H₁: < 0.9 H₁:0.9 H₁:p 0.9 H₁: p < 0.9The test is:two-tailed right-tailed left-tailedThe test statistic is:(to 3 decimals)The p-value is:Based on this we:O Fail to reject the null hypothesisO Reject the null hypothesis(to 4 decimals)

The provided information is n=100p^=0.81α=0.05The null and alternative hypothesis is…

Answered: The null and alternative 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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Question 17: 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 0.05 significance level.

The null and alternative hypothesis would be:

H0:p≤0.9H0:p≤0.9
H1:p>0.9H1:p>0.9

H0:μ≤0.9H0:μ≤0.9
H1:μ>0.9H1:μ>0.9

H0:μ≥0.9H0:μ≥0.9
H1:μ<0.9H1:μ<0.9

H0:μ=0.9H0:μ=0.9
H1:μ≠0.9H1:μ≠0.9

H0:p=0.9H0:p=0.9
H1:p≠0.9H1:p≠0.9

H0:p≥0.9H0:p≥0.9
H1: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: