Describe the Sampling Distribution of a Sample Proportion
-A Simple $n = 1460$

question 34

Multiple Choice

Describe the Sampling Distribution of a Sample Proportion
-A simple random sample of size $n = 1460$ is obtained from a population whose size is $\mathrm { N } = 1,400,000$ and whose population proportion with a specified characteristic is $\mathrm { p } = 0.57$ . Describe the sampling distribution of $\hat { p }$ .

• A) Approximately normal; \(\mu _ { \mathrm { p } } = 0.57 , \sigma _ { \mathrm { p } } = 0.013\)
• B) Exactly normal; \(\mu _ { \mathrm { p } } = 0.57 , \sigma _ { \mathrm { p } } = 0.013\)
• C) Approximately normal; \(\mu _ { \mathrm { p } } = 0.57 , \sigma _ { \mathrm { p } } = 0.1323\)
• D) Exactly normal; \(\mu _ { \mathrm { p } } = 0.57 , \sigma _ { \mathrm { p } } = 0.1323\)

---

Definitions:

Memory Loss

The inability to remember information or events, which can be a temporary condition or a symptom of neurological diseases.

Monoamine

A category of neurotransmitter that includes serotonin, dopamine, and norepinephrine, important for regulating mood and behavior.

Norepinephrine

A neurotransmitter and hormone involved in the body’s fight or flight response, affecting attention and responding actions.

Acetylcholine

A neurotransmitter in the body that plays a major role in the functioning of the autonomic nervous system and in the communication between motor neurons and muscles.