## Math Problem Statement

A survey asked, "How important is it to you to buy products that are made in America?" of the 600 Americans surveyed, 150 responded, "It is not important." For each of the following levels of confidence, find the sample proportion and the margin of error (MOE) associated with the poll. (Give the answers to one decimal place, if needed.) (a) An 85% level of confidence Sample proportion is

Incorrect: Your answer is incorrect. % MOE = %

(b) A 98% level of confidence Sample proportion is

Incorrect: Your answer is incorrect. % MOE =

Incorrect: Your answer is incorrect.

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Statistics

Confidence Intervals

Sample Proportion

Margin of Error

### Formulas

Sample Proportion (p̂) = Number of favorable responses / Total sample size

Margin of Error (MOE) = z* × √[(p̂(1 - p̂)) / n]

### Theorems

Central Limit Theorem

### Suitable Grade Level

Grades 10-12

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