At a Large Midwestern University,a Simple Random Sample of 100

question 81

Multiple Choice

At a large Midwestern university,a simple random sample of 100 entering freshmen in 1993 found that 20 of the sampled freshmen finished in the bottom third of their high school class.Admission standards at the university were tightened in 1995.In 1997,a simple random sample of 100 entering freshmen found that only 10 finished in the bottom third of their high school class.Let p₁ and p₂ be the proportions of all entering freshmen in 1993 and 1997,respectively,who graduated in the bottom third of their high school class.Is there evidence that the proportion of freshmen who graduated in the bottom third of their high school classes in 1997 was reduced as a result of the tougher admission standards adopted in 1995,compared to the proportion in 1993? To determine this,test the hypotheses H₀: p₁ = p₂ versus H_a: p₁ > p₂.Compute the value of the z statistic for testing these hypotheses.What is the value of the P-value?

• A)P-value < 0.001
• B)P-value = 0.0238
• C)P-value = 0.025
• D)P-value = 0.1151

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Definitions:

Rensis Likert

A social psychologist who developed the Likert Scale for measuring attitudes and is known for his research on management styles.

Focal Point

The center of interest or activity; a point that attracts attention or serves as a reference for surrounding elements.

Systems Level

A perspective or approach that considers the broader, interconnected components of a whole rather than focusing on individual parts.

Adequate Funding

Sufficient financial resources provided to fully support or complete a project, program, or initiative without monetary constraints.