A Study Was Conducted to Determine What Proportion of All $\mathrm { n } > 25$

question 81

Multiple Choice

A study was conducted to determine what proportion of all college students considered themselves as full-time students. A random sample of 300 college students was selected and 210 of the students responded that they considered themselves full-time students. A computer program was used to generate the following 95% confidence interval for the population proportion: (0.64814,
0.75186) . The sample size that was used in this problem is considered a large sample. What criteria should be used to determine if n is large?

• A) If \(\mathrm { n } > 25\), then \(\mathrm { n }\) is considered large.
• B) Both \(\hat { n p } \geq 15\) and \(\hat { n q } \geq 15\).
• C) When working with proportions, any \(\mathrm { n }\) is considered large.
• D) If \(\mathrm { n } \geq 30\), then \(\mathrm { n }\) is considered large.

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Definitions:

Vietnam War

A prolonged conflict (1955-1975) between the communist forces of North Vietnam, supported by its allies, and the government of South Vietnam, supported by the United States and other anti-communist nations.

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Individuals who have held significant leadership roles in the political, military, or social spheres of the United States.

My Lai Massacre

A tragic incident during the Vietnam War where American soldiers killed hundreds of unarmed Vietnamese civilians in the village of My Lai in 1968, leading to widespread outrage and condemnation.

William Calley

An officer in the United States Army who was found guilty of murdering 22 unarmed South Vietnamese civilians in the My Lai Massacre during the Vietnam War.