Math Problem Statement

Question content area top Part 1 Describe the sampling distribution of ModifyingAbove p with caretp. Assume the size of the population is 15 comma 00015,000. nequals=500500​, pequals=0.20.2 Question content area bottom Part 1 Choose the phrase that best describes the shape of the sampling distribution of ModifyingAbove p with caretp below. A. Not normal because n less than or equals 0.05 Upper Nn≤0.05N and np left parenthesis 1 minus p right parenthesis less than 10.np(1−p)<10. B. Not normal because n less than or equals 0.05 Upper Nn≤0.05N and np left parenthesis 1 minus p right parenthesis greater than or equals 10.np(1−p)≥10. C. Approximately normal because n less than or equals 0.05 Upper Nn≤0.05N and np left parenthesis 1 minus p right parenthesis greater than or equals 10.np(1−p)≥10. D. Approximately normal because n less than or equals 0.05 Upper Nn≤0.05N and np left parenthesis 1 minus p right parenthesis less than 10.np(1−p)<10.

Solution

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Math Problem Analysis

Mathematical Concepts

Sampling Distribution
Probability
Normal Distribution

Formulas

Sample Size Condition: n ≤ 0.05N
Normality Condition: np(1−p) ≥ 10

Theorems

Central Limit Theorem

Suitable Grade Level

Undergraduate Level (Statistics/Probability Course)