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:

Tachycardia

An abnormally fast heart rate, usually over 100 beats per minute in adults, indicating potential heart or health problems.

Hyperventilation

Rapid or deep breathing that can lead to reduced carbon dioxide levels in the blood, causing symptoms like light-headedness or tingling of the limbs.

Anxiety

A mental health disorder characterized by feelings of worry, anxiety, or fear that are strong enough to interfere with one's daily activities.

Disturbed Thought Processes

A condition where there is a disruption in the way a person thinks, often evident in disorders such as schizophrenia.