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 two weeks, found that in a sample of 100 people, 95% of them said they are confident of meeting their goals. Test the claim that the proportion of confident people is more significant than 90% at the 0.10 significance level. The null and alternative hypotheses 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 left-tailed right-tailed What is the test statistic? (to 3 decimals) What is the p-value (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 two weeks, found that in a sample of 100 people, 95% of them said they are confident of meeting their goals. Test the claim that the proportion of confident people is more significant than 90% at the 0.10 significance level. The null and alternative hypotheses 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 left-tailed right-tailed What is the test statistic? (to 3 decimals) What is the p-value (to 4 decimals) Based on this we: Fail to reject the null hypothesis Reject the null 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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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 two weeks, found that in a sample of 100 people, 95% of them said they are confident of meeting their goals.
Test the claim that the proportion of confident people is more significant than 90% at the 0.10 significance level.
The null and alternative hypotheses would be:
H0:p=0.9H0:p=0.9
H1:p≠0.9H1:p≠0.9
H1:p≠0.9H1:p≠0.9
H0:μ=0.9H0:μ=0.9
H1:μ≠0.9H1:μ≠0.9
H1:μ≠0.9H1:μ≠0.9
H0:μ=0.9H0:μ=0.9
H1:μ>0.9H1:μ>0.9
H1:μ>0.9H1:μ>0.9
H0:μ=0.9H0:μ=0.9
H1:μ<0.9H1:μ<0.9
H1:μ<0.9H1:μ<0.9
H0:p=0.9H0:p=0.9
H1:p<0.9H1:p<0.9
H1:p<0.9H1:p<0.9
H0:p=0.9H0:p=0.9
H1:p>0.9H1:p>0.9
H1:p>0.9H1:p>0.9
The test is:
two-tailed
left-tailed
right-tailed
What is the test statistic? (to 3 decimals)
What is the p-value (to 4 decimals)
Based on this we:
- Fail to reject the null hypothesis
- Reject the null hypothesis
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