A well-known brokerage firm executive claimed that 20% 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, 24% of them said they are confident of meeting their goals. Test the claim that the proportion of people who are confident is larger than 20% at the 0.05 significance level. The null and alternative hypothesis would be: Ho p ≤ 0.2 Ho:p = 0.2 Ho: ≤ 0.2 H₁:p> 0.2 H₁:p 0.2 H₁: p > 0.2 The test is: left-tailed two-tailed right-tailed O O The test statistic is: The p-value is: Based on this we: OF O Fail to reject the null hypothesis O Reject the null hypothesis Ho:p≥ 0.2 Ho:μ: = 0.2 Ho:μ ≥ 0.2 0 H₁:p < 0.2 H₁: 0.2 H₁: < 0.2 (to 3 decimals) (to 4 decimals)

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
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A well-known brokerage firm executive claimed that 20% 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, 24% of them said they are confident of meeting their goals.
Test the claim that the proportion of people who are confident is larger than 20% at the 0.05 significance
level.
The null and alternative hypothesis would be:
=
Ho:p ≤ 0.2 Ho:p 0.2 Ho: ≤ 0.2
H₁:p > 0.2 H₁:p ‡ 0.2 H₁:μ > 0.2
The test is:
left-tailed two-tailed right-tailed
The test statistic is:
The p-value is:
Based on this we:
Fail to reject the null hypothesis
Reject the null hypothesis
Ho:p ≥ 0.2
H₁:p < 0.2
(to 3 decimals)
(to 4 decimals)
Ho:μ = 0.2
H₁:μ ‡ 0.2
Ho:μ ≥ 0.2 or
H₁:μ< 0.2
Transcribed Image Text:A well-known brokerage firm executive claimed that 20% 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, 24% of them said they are confident of meeting their goals. Test the claim that the proportion of people who are confident is larger than 20% at the 0.05 significance level. The null and alternative hypothesis would be: = Ho:p ≤ 0.2 Ho:p 0.2 Ho: ≤ 0.2 H₁:p > 0.2 H₁:p ‡ 0.2 H₁:μ > 0.2 The test is: left-tailed two-tailed right-tailed The test statistic is: The p-value is: Based on this we: Fail to reject the null hypothesis Reject the null hypothesis Ho:p ≥ 0.2 H₁:p < 0.2 (to 3 decimals) (to 4 decimals) Ho:μ = 0.2 H₁:μ ‡ 0.2 Ho:μ ≥ 0.2 or H₁:μ< 0.2
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