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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, 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 0.10 significance level. The null and alternative hypothesis would be:   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: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 The test is:   right-tailed left-tailed two-tailed The test statistic is: (to 3 decimals) The p-value is:  (to 4 decimals) I am just lost on how to do the steps. thanks

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, 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 0.10 significance level. The null and alternative hypothesis would be:   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: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 The test is:   right-tailed left-tailed two-tailed The test statistic is: (to 3 decimals) The p-value is:  (to 4 decimals) I am just lost on how to do the steps. thanks

MATLAB: An Introduction with Applications
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 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, 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 0.10 significance level.

The null and alternative hypothesis would be:

 

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: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



The test is:

 

right-tailed
left-tailed
two-tailed



The test statistic is: (to 3 decimals)

The p-value is:  (to 4 decimals)

I am just lost on how to do the steps. thanks

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