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:

Blood Vessel

Cylindrical vessels that transport blood throughout organs and tissues, including veins, arteries, and capillaries.

Dermis

The dermis is the thick layer of living tissue below the epidermis that contains nerve endings, sweat glands, hair follicles, and blood vessels, providing strength and elasticity to the skin.

Blood Clot

A gel-like mass formed by platelets and fibrin in the blood to stop bleeding by sealing wounds.

Extracellular Material

Substances found outside the cells that provide structural and biochemical support to surrounding cells.