A University Wants to Increase Its Retention Rate of 4

question 40

Multiple Choice

A university wants to increase its retention rate of 4% for graduating students from the previous year.After implementing several new programs during the last two years,the university reevaluated its retention rate using a random sample of 352 students and found the retention rate at 5%.Test an appropriate hypothesis and state your conclusion.Be sure the appropriate assumptions and conditions are satisfied before you proceed.

• A) : p = 0.04; : p > 0.04;z = 0.96;P-value = 0.1685.This data shows virtually no evidence that more than 4% of students are retained;the university should not continue with the new programs.
• B) : p = 0.04; : p < 0.04;z = 1.07;P-value = 0.8577.This data shows conclusive evidence that more than 4% of students are retained;therefore,the university should continue with the new programs.
• C) : p = 0.04; : p < 0.04;z = -1.07;P-value = 0.8577.This data shows conclusive evidence that more than 4% of students are retained;the university should continue with the new programs.
• D) : p = 0.04; : p > 0.04;z = -1.07;P-value = 0.1423.This data does not show that more than 4% of students are retained;the university should not continue with the new programs.
• E) : p = 0.04; : p ≠ 0.04;z = 1.07;P-value = 0.2846.This data shows virtually no evidence that more than 4% of students are retained;the university should not continue with the new programs.

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Definitions:

Syntax

The arrangement of words and phrases to create well-formed sentences in a language, fundamental to the study of linguistics.

Histogram

A graphical representation of data where the frequency of the variables is represented by bars of different heights.

Rules Of Thumb

Simple, practical guidelines or principles, typically based on experience rather than theory, used to make judgments and decisions.

Heuristics

Mental shortcuts or rules of thumb that simplify decision-making processes, often leading to rapid judgements or problem-solving strategies.