claim that the proportion of people who are confident is larger than 60% at the 0.10 significance level.
claim that the proportion of people who are confident is larger than 60% at the 0.10 significance level.
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Topic Video
Question
Question 9
A well-known brokerage firm executive claimed that 60% 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, 61% of them said they are confident of meeting their goals.
Test the claim that the proportion of people who are confident is larger than 60% at the 0.10 significance level.
The null and alternative hypothesis would be:
H0:μ≤0.6H0:μ≤0.6
H1:μ>0.6H1:μ>0.6
H1:μ>0.6H1:μ>0.6
H0:p≥0.6H0:p≥0.6
H1:p<0.6H1:p<0.6
H1:p<0.6H1:p<0.6
H0:p≤0.6H0:p≤0.6
H1:p>0.6H1:p>0.6
H1:p>0.6H1:p>0.6
H0:μ≥0.6H0:μ≥0.6
H1:μ<0.6H1:μ<0.6
H1:μ<0.6H1:μ<0.6
H0:μ=0.6H0:μ=0.6
H1:μ≠0.6H1:μ≠0.6
H1:μ≠0.6H1:μ≠0.6
H0:p=0.6H0:p=0.6
H1:p≠0.6H1:p≠0.6
H1:p≠0.6H1:p≠0.6
The test is:
left-tailed
right-tailed
two-tailed
The test statistic is: (to 2 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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