Math Problem Statement

Evaluate the expression: (0.54 - p) / sqrt(p(1 - p) / n), with p = 0.5 and n = 35. Round the result to three decimal places.

Solution

The formula shown in the image is:

0.54pp(1p)n\frac{0.54 - p}{\sqrt{\frac{p(1 - p)}{n}}}

with the values p=0.5p = 0.5 and n=35n = 35. We are asked to evaluate the expression and round the result to three decimal places.

Let me calculate this for you.The result of the expression is approximately 0.4730.473 when rounded to three decimal places.

Would you like any further explanation or details?

Here are some related questions you might find useful:

  1. How does the formula relate to statistical concepts?
  2. How would the result change if nn were larger or smaller?
  3. What does this expression represent in hypothesis testing or confidence intervals?
  4. Can you explain why p(1p)p(1 - p) appears in the denominator?
  5. How does rounding affect precision in mathematical calculations?

Tip: Always double-check the rounding requirements to ensure accuracy, especially in assignments with specific decimal place rules.

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Math Problem Analysis

Mathematical Concepts

Statistics
Algebra
Square Roots
Rounding

Formulas

(0.54 - p) / sqrt(p(1 - p) / n)

Theorems

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Suitable Grade Level

Grades 9-12, College-level