For $n$ Sufficiently Large, and P Sufficiently Close To $0.5$ , the Distribution Of

question 12

True/False

For $n$ sufficiently large, and p sufficiently close to $0.5$ , the distribution of $\frac { \hat { p } - p } { \sigma _ { \hat { p } } }$ is approximately a standard normal distribution.

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Definitions:

Cystic Fibrosis

A genetic disorder that affects the respiratory, digestive, and reproductive systems, leading to thick mucus production and respiratory infections.

Stool For Fat

A diagnostic test that analyzes a stool sample to measure the amount of fat, helping to identify disorders of fat digestion and absorption.

Aerosolized Bronchodilator Medication

Medication delivered as a mist inhaled into the lungs to widen the bronchi for easier breathing, often used in asthma treatment.

Cystic Fibrosis

A genetic disorder that affects the lungs and digestive system, characterized by thick, sticky mucus that can clog airways and trap bacteria.