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:

Exhibitionism

A sexual disorder characterized by an intense urge to expose one’s genitals to an unsuspecting person.

Voyeurism

A disorder characterized by achieving sexual pleasure from watching others when they are naked or engaged in sexual activity, without their consent.

Paraphilia

Patterns of sexual attraction to unusual or socially unacceptable objects, situations, or individuals.

Atypical Antipsychotic Medication

A class of drugs used to treat psychiatric conditions, noted for causing fewer extrapyramidal side effects than traditional antipsychotics.