Consider Sampling from a Population Whose Proportion of Successes Is $p = 0.5$

question 24

Essay

Consider sampling from a population whose proportion of successes is $p = 0.5$ . As the sample size, $n$ , increases, some characteristics of the sampling distribution of change. Which of the following characteristics will change as $n$ increases, and what is the nature of the change?
a) The mean of the sampling distribution of $\hat { p }$
b) The standard deviation of the sampling distribution of $\hat { p }$
c) The shape of the sampling distribution of $\hat { p }$

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Definitions:

Progressive

Pertaining to a form of taxation in which the tax rate increases as the taxable amount increases, typically applied to income tax.

Regressive

A term describing a tax system where the tax rate decreases as the taxable amount increases, imposing a greater burden on lower-income earners.

Federal Taxes

Taxes levied by the federal government on income, investments, and goods and services, which fund national programs and services.

State And Local Taxes

Taxes levied by individual states and localities, which can include income, sales, property, and other types of taxes.