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 400 people, 51% of them said they are confident of meeting their goals. Test the claim that
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 400 people, 51% of them said they are confident of meeting their goals. Test the claim that
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 400 people, 51% 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 0.05 significance level.
The null and alternative hypothesis would be:
H0:μ=0.5H0:μ=0.5
H1:μ≠0.5H1:μ≠0.5
H1:μ≠0.5H1:μ≠0.5
H0:p≥0.5H0:p≥0.5
H1:p<0.5H1:p<0.5
H1:p<0.5H1:p<0.5
H0:μ≥0.5H0:μ≥0.5
H1:μ<0.5H1:μ<0.5
H1:μ<0.5H1:μ<0.5
H0:p=0.5H0:p=0.5
H1:p≠0.5H1:p≠0.5
H1:p≠0.5H1:p≠0.5
H0:μ≤0.5H0:μ≤0.5
H1:μ>0.5H1:μ>0.5
H1:μ>0.5H1:μ>0.5
H0:p≤0.5H0:p≤0.5
H1:p>0.5H1:p>0.5
H1:p>0.5H1:p>0.5
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
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