Q.4 - The Practice of Statistics for AP

Question

Reporting cheating What proportion of students are willing to report cheating by other students? A student project put this question to an SRS of $172$ undergraduates at a large university: “You witness two students cheating on a quiz. Do you go to the professor?” Only 19 answered “Yes.”$3$

Step-by-Step Solution

Answer

The sample proportion is $\hat{p}=11.05\%$.

Step 1: Given Information

$n=\text{ Sample size }=172$

$x=\text{ Number of successes }=19$

Step 2: Explanation

The population proportion $p$ is estimated by the sample proportion $\hat{p}$.

The sample proportion is the number of successes divided by the sample size.

$\hat{p}=\frac{x}{n}=\frac{19}{172}\approx 0.1105=11.05\%$.