Answered: Bob draws a simple random sample from…

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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4. Bob draws a simple random sample from an extremely large population of lemons. The sample size is n=475 and in the sample 87 lemons turn out to be good and 388 lemons turn out to be bad. Find the 95% confidence interval for the population proportion P of good lemons.

Expert Solution

Step 1

Given that n=475.

In 475 sample, there are 87 lemons turn out to be good and 388 lemons turn out to be bad.

Consider, the sample proportion of good lemons is,

$\hat{p} = \frac{87}{475} = 0.1832$

Given confidence level is 95%.

The z critical value corresponding with 95% confidence is 1.96.

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