Describe the Sampling Distribution of a Sample Proportion
-A Simple $\mathrm { n } = 450$

question 8

Multiple Choice

Describe the Sampling Distribution of a Sample Proportion
-A simple random sample of size $\mathrm { n } = 450$ is obtained from a population whose size is $\mathrm { N } = 13,000$ and whose population proportion with a specified characteristic is $\mathrm { p } = 0.2$ . Describe the sampling distribution of $\hat { p }$ .

• A) Approximately normal; \(\mu _ { p } = 0.2 , \sigma p = 0.019\)
• B) Exactly normal; \(\mu _ { \mathrm { p } } = 0.2 , \sigma _ { \mathrm { p } } = 0.019\)
• C) Approximately normal; \(\mu _ { \mathrm { p } } = 0.2 , \sigma \mathrm { p } = 0.1109\)
• D) Binomial; \(\mu _ { \mathrm { p } } = 90 , \sigma _ { \mathrm { p } } = 8.49\)

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Definitions:

Personal Property

Movable assets owned by an individual or an entity, such as vehicles, furniture, and equipment, in contrast to real property like land or buildings.

Abatement

A reduction or decrease, often referred to in the context of taxes, rent, or legal penalties.

Bequests

Bequests are gifts of money or personal property left to a beneficiary through a will or estate plan.

Adequate

Sufficient to satisfy a requirement or meet a need.