Answered: A company reported that 72% of 1691…

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

A company reported that 72% of 1691 randomly selected college freshmen returned to college the next year. The study was stratified by type of college—public or private. The retention rates were 67.8% among 534 students enrolled in public colleges and 74.0% among 1157 students enrolled in private colleges. The company found 95% confidence intervals for retention rates. Suppose that the company wants to update its information on the percentage of freshmen that return for a second year of college. Complete parts a and b below.

A) It wants to cut the stated margin of error in half. How many college freshmen must be surveyed?

b) Do you have any concerns about this sample? Explain.

Select all that apply.

The 10% Condition would probably be violated by this sample.

Because the sample is stratified, there is a greater risk of greater sampling error.

Because the sample is stratified, the Independence Assumption may be violated.

The Success/Failure Condition would probably be violated by this sample.

The sample size is very small, which may reduce the level of certainty associated with the interval.

The sample size is very large, which may make the survey difficult and expensive to administer.

There are no reasonable concerns about this sample.

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