Question

Going to the prom Tonya wants to estimate the proportion of seniors in her school who plan to attend the prom. She interviews an SRS of $20$of the $750$seniors in her school and finds that $36$plan to go to the prom.

Short answer

The answer is$\hat{p}=72\%$.

Step-by-step solution

Given Information

Sample Size $n=50$

Population Size $N=750$

Number of Success$x=36$

Concept Used

Sample proportion is number of success by the number of size.

$\hat{p}=\frac{x}{n}$

Simplification

Sample Proportion $\hat{p}=\frac{x}{n}$

$=\frac{36}{50}$

$=0.72$

Hence,$\hat{p}=72\%$