Answered: You want to get a 90% confidence…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

You want to get a 90% confidence interval for the difference between the percentage of females with red hair compared to males with red hair. You sample 76 females and find 34 of them have red hair. You sample 65 males and find 33 have red hair.

< p1−p2 <

Expert Solution

Step 1

Obtain the 90% confidence interval for the difference between proportions

The 90% confidence interval for the between proportions is obtained below:

The formula for the confidence interval is,

Use EXCEL Procedure for finding the critical value of z.

Follow the instruction to obtain the critical value of z:

Open EXCEL
Go to Formula bar.
In formula bar enter the function as“=NORMINV”
Enter the probability as 0.95
Enter the mean as 0 and the Standard deviation as 1.
Click enter

EXCEL output:

From the EXCEL output, the critical value of z at the 90% confidence level is 1.645.

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