We Conduct a Significance Test with H0: P = 0 $z=0.43 \pm 1.96 \sqrt{\frac{0.43-0.57}{230}}$

question 87

Multiple Choice

We conduct a significance test with H0: p = 0.43 and Ha: p × 0.43. We take a sample of size 250 and get a sample proportion of 0.40. The appropriate test statistic is:

• A) \( z=0.43 \pm 1.96 \sqrt{\frac{0.43-0.57}{230}} \)
• B) \( z=\frac{0.40-0.43}{\sqrt{\frac{0.43 \cdot 0.57}{250}}} \)
• C) \( z=0.40 \pm 1.96 \sqrt{\frac{0.40 \cdot 0.60}{250}} \)
• D) \( z=\frac{0.40-0.43}{\sqrt{\frac{0.40-0.60}{250}}} \)
• E) \( z=\frac{0.43-0.40}{\sqrt{\frac{0.40-0.60}{250}}} \)

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Definitions:

Population Density

The measure of the number of individuals living in a given area, often per square mile or square kilometer.

Witnesses

Individuals who see or experience an event and are able to provide a testimony about it.

Altruistic Personality

A personality trait characterized by the inclination to help others selflessly without expecting any reward.

Altruistic Tendencies

The inclination to act in a selfless manner, prioritizing the welfare of others even at a personal cost, reflecting a fundamental aspect of human social behavior.