A Polling Agency Is Interested in Testing Whether the Proportion

question 10

Multiple Choice

A polling agency is interested in testing whether the proportion of women who support a femalecandidate for office is less than the proportion of men. The null hypothesis is that there is nodifference in the proportions of men and women who support the female candidate. The alternativehypothesis is that the proportion of women who support the female candidate is less than theproportion of men. The test results in a p-value of 0.041. Which of the following is the bestinterpretation of the p-value?

• A) The p-value is the probability that the majority of women will support the female candidate.
• B) The p-value is the probability of getting a result that is as extreme as or more extreme than the one obtained, assuming that there is no difference in the proportions.
• C) The p-value is the probability that the majority of men will support the female candidate.
• D) The p-value is the probability of getting a result that is as extreme as or more extreme than the one obtained, assuming that the proportion of women who support the female candidate
• Is less than the proportion of men.

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Definitions:

Volcanoes

Openings in Earth's crust that allow molten rock, ash, and gases to escape from below the surface.

Earthquakes

Natural phenomena involving the shaking of the ground, usually caused by the movement of tectonic plates beneath the Earth's surface.

Distributions

The manner in which a phenomenon or characteristic is spread out over an area or volume.

Continent-continent Convergence

A tectonic process involving the collision of two continental plates, typically resulting in the formation of mountain ranges.