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 300 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 0.10 significance level.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
icon
Concept explainers
Question
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 300 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 0.10
significance level.
The null and alternative hypothesis would be:
Ho:p = 0.2 Ho:µ 0.2 Ho: u = 0.2 Ho:u < 0.2 Ho:p 2 0.2 Ho: p< 0.2
H1:p + 0.2 H1:u < 0.2 H1: µ # 0.2 H1: p > 0.2 H1:p < 0.2 H1:p > 0.2
The test is:
left-tailed two-tailed right-tailed
The test statistic is:
(to 3 decimals)
The p-value is:
(to 4 decimals)
Based on this we:
O Reject the null hypothesis
O Fail to reject the null hypothesis
> Next Question
Chp
Ce
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 300 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 0.10 significance level. The null and alternative hypothesis would be: Ho:p = 0.2 Ho:µ 0.2 Ho: u = 0.2 Ho:u < 0.2 Ho:p 2 0.2 Ho: p< 0.2 H1:p + 0.2 H1:u < 0.2 H1: µ # 0.2 H1: p > 0.2 H1:p < 0.2 H1:p > 0.2 The test is: left-tailed two-tailed right-tailed The test statistic is: (to 3 decimals) The p-value is: (to 4 decimals) Based on this we: O Reject the null hypothesis O Fail to reject the null hypothesis > Next Question Chp Ce
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Conditional Probability, Decision Trees, and Bayes' Theorem
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman