A well-known brokerage firm executive claimed that 30% 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 300 people, 34% of them said they are confident of meeting their goals. Test the claim that the proportion of people who are confident is larger than 30% at the 0.01 significance level. The null and alternative hypothesis would be: Ho:p>0.3 Ho: ≤0.3 Ho: 20.3 Ho p=0.3 Hop=0.3 Ho: p≤0.3 H₁ p<0.3 H₁: >0.3 H₁: <0.3 H₁: p0.3 H₁: p0.3 H₁:p> 0.3 O O O The test is: left-tailed two-tailed right-tailed The test statistic is: The p-value is: Based on this we: (to 3 decimals) (to 4 decimals)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
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Question 17
A well-known brokerage firm executive claimed that 30% 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 300 people, 34% of them said they are confident of meeting their goals.
4
Test the claim that the proportion of people who are confident is larger than 30% at the 0.01 significance
level.
The null and alternative hypothesis would be:
Ho:p>0.3 Ho: p<0.3 Ho: 20.3 Hop=0.3 Hop=0.3 Ho: p<0.3
H₁ p<0.3 H₁: >0.3 H₁: < 0.3 H₁ p / 0.3 H₁ 0.3 H₁:p> 0.3
O
O
O
The test is:
The test statistic is:
left-tailed two-tailed right-tailed
O
The p-value is:
Based on this we:
<
%
5
>
t
M
6
(to 3 decimals)
(to 4 decimals)
DELL
&
7
O
*
8
O
Transcribed Image Text:Question 17 A well-known brokerage firm executive claimed that 30% 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 300 people, 34% of them said they are confident of meeting their goals. 4 Test the claim that the proportion of people who are confident is larger than 30% at the 0.01 significance level. The null and alternative hypothesis would be: Ho:p>0.3 Ho: p<0.3 Ho: 20.3 Hop=0.3 Hop=0.3 Ho: p<0.3 H₁ p<0.3 H₁: >0.3 H₁: < 0.3 H₁ p / 0.3 H₁ 0.3 H₁:p> 0.3 O O O The test is: The test statistic is: left-tailed two-tailed right-tailed O The p-value is: Based on this we: < % 5 > t M 6 (to 3 decimals) (to 4 decimals) DELL & 7 O * 8 O
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