Answered: College X wanted to know if their…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.4: Collecting Data

Problem 8E

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Question

College X wanted to know if their student body was changing its educational make up. In 2009, College X believed that their students could be divided as follows:

Education	Breakdown
Not a HS grad	16.00%
HS grad	32.00%
Some College	18.00%
Associate's Degree	8.00%
Bachelor's Degree	17.00%
Above Bachelor's	9.00%

In 2017, College X randomly polled 500 of their students and observed the new data:

Education	Frequency
Not a HS grad	72
HS grad	159
Some college	85
Associate's degree	44
Bachelor's Degree	92
Above Bachelor's	48

Is the educational make up of the College changing?

Also, what should be used?

confidence intervals
z-score
cause/correlation/regression or Chi-Squared
hypothesis tests

Expert Solution

Step 1

Given:

The observed values are

Step 2

The expected values are

e.g. 500 × 16% = 80

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