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PT. “ABC” in 2018 offers a new portfolio for investment. For this new product, companies need to know the ability of investors to face risk. For this purpose, samples were taken from two groups, namely the old and young groups, each of which was taken as many as 160 old and young investors. The survey results showed that as many as 90 older people and 70 young people agreed to accept greater risk. Make a confidence interval for the difference in the proportion of the ability to face the risk.

PT. “ABC” in 2018 offers a new portfolio for investment. For this new product, companies need to know the ability of investors to face risk. For this purpose, samples were taken from two groups, namely the old and young groups, each of which was taken as many as 160 old and young investors. The survey results showed that as many as 90 older people and 70 young people agreed to accept greater risk. Make a confidence interval for the difference in the proportion of the ability to face the risk.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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PT. “ABC” in 2018 offers a new portfolio for investment. For this new product, companies need to know the ability of investors to face risk. For this purpose, samples were taken from two groups, namely the old and young groups, each of which was taken as many as 160 old and young investors. The survey results showed that as many as 90 older people and 70 young people agreed to accept greater risk. Make a confidence interval for the difference in the proportion of the ability to face the risk.
Expert Solution
Step 1

Given that : 

Older people (x1) = 90

Younger people ( x1) = 70

each of which was taken as many as 160 

Level of significance ( alpha ) = 5%  by default. 

Here we use two sample proportion test confidence interval formula. 

 

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