## Math Problem Statement

Proportion of students that need external exams is 64%.determine the approximate 90% confidence interval if the sample size was 100

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Statistics

Confidence Intervals

Proportions

### Formulas

Confidence Interval Formula: \hat{p} \pm z \sqrt{\frac{\hat{p}(1 - \hat{p})}{n}}

Standard Error Formula: SE = \sqrt{\frac{\hat{p}(1 - \hat{p})}{n}}

Margin of Error Formula: ME = z \times SE

### Theorems

Central Limit Theorem

### Suitable Grade Level

Grades 11-12

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