According to the 2010 Census, 20

question 95

Essay

According to the 2010 census, 20.3% of the population of the United States (ages 5 and up) live in a home in which a language other than English is spoken. Advocates for providing government programs to assist non-English speakers are convinced that, with the increasing non-white population in the United States, this proportion has probably increased. They plan to conduct a survey, and if they find the proportion of people who live in such homes has increased, they will organize a campaign to increase government investment in these assistance programs.
-A consultant talked the group into gathering a larger sample. Will the power of the test increase, decrease, or remain the same?

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Definitions:

Central Limit Theorem

A statistical theory that states the distribution of the sample mean of a large enough number of independent, identically distributed variables will be approximately normal, regardless of the population's distribution.

Sample Means

The average value of a sample, which is a subset of a larger population, used to estimate the population mean.

Normally Distributed

A statistical distribution where data points are symmetrically distributed around the mean, forming a bell-shaped curve.

Standard Deviation

An indicator of the degree to which a dataset's values vary or are spread, showing the distance of the values from the average.