Chapter 8.1, Problem 3E

To determine

Tocalculate: The sample proportion of the seniors in the school plan to attend the prom.

Answer to Problem 3E

The sample proportion to attend the prom is 72%.

Explanation of Solution

Given Information:

Sample size to attend the prom = 50

Total population size = 750

Number of successes to go to the prom = 36

Formula Used:

  $\text{Sample proportion}=\frac{\text{Number}\text{of}\text{successes}}{\text{Sample}\text{size}}$

Calculation:

Sample size to attend the prom = 50

Total population size = 750

Number of successes to go to the prom = 36

To find the sample proportion, use the formula.

  $\begin{array}{c}\text{Sample proportion}=\frac{\text{Number}\text{of}\text{successes}}{\text{Sample}\text{size}}\\ =\frac{36}{50}\\ =0.72\end{array}$

Convert 0.72 into percentage.

  $\begin{array}{c}\text{Percentage}=0.72\times 100\%\\ =72\%\end{array}$

Hence, the sample proportion to attend the prom is 72%.