Concept explainers
To Explain: that this provides evidence that there is a gap in the retention rates of first-year students at colleges.
Explanation of Solution
Given:
Formula used:
Calculation:
Here, there is required to evaluate whether the retention rates of the 1st-year students at public and private colleges are different. Let
Pool the sample data
Estimating
Observed difference is
The z-score for the observed difference in proportions is
The P-value is given as
To consider the null hypothesis, p-value = 0.1996 is high sufficient. It may assume that the retention rates of first year students at public and private colleges do not differ.
Chapter 22 Solutions
Stats: Modeling the World Nasta Edition Grades 9-12
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