Consider Sampling from a Population Whose Proportion of Successes Is $\hat{p}$

question 2

Essay

Consider sampling from a population whose proportion of successes is p = 0.5. Asthe sample size, n, increases, some characteristics of the sampling distribution ofchange. Which of the following characteristics will change as n increases, and whatis 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:

Expressive Behaviors

Actions that communicate an individual's emotional state or intentions to others, ranging from facial expressions to body movements.

Physiological Arousal

The activation of the body's central nervous system, leading to physical responses such as increased heart rate and muscle tension.

Conscious Experience

The subjective awareness of one's thoughts, feelings, and environment, accessible to introspection and report.

Sexual Orientation

An enduring pattern of emotional, romantic, or sexual attractions to men, women, both, neither, or another gender.