Math Problem Statement

In a simple random sample of size 62, there were 37 individuals in the category of interest. (a) Compute the sample proportion p. Round the answer to at least three decimal places. The sample proportion is 0.597. are the assumptions for a hypothesis test satisfied? Explain. , the number of individuals in each category is 10.

Solution

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Math Problem Analysis

Mathematical Concepts

Statistics
Sample Proportion
Hypothesis Testing

Formulas

Sample proportion: p̂ = x / n
Conditions for Normal Approximation: np ≥ 10 and n(1 - p) ≥ 10

Theorems

Central Limit Theorem
Normal Approximation for Proportions

Suitable Grade Level

Grades 11-12 (or introductory college-level statistics)