Question

sample proportions and margin of error: mastery test
5
select the correct answer.
in a random sample of 85 people attending a workshop, 63 of the respondents said the workshop was useful. what is the sample proportion of the people who said the workshop was useful?
a. 0.13
b. 0.48
c. 0.63
d. 0.74

Explanation:

Step1: Recall sample - proportion formula

The formula for sample proportion $\hat{p}=\frac{x}{n}$, where $x$ is the number of successes in the sample and $n$ is the sample size.

Step2: Identify values of $x$ and $n$

Here, $x = 63$ (number of people who said the workshop was useful) and $n=85$ (sample size).

Step3: Calculate the sample proportion

$\hat{p}=\frac{63}{85}\approx0.74$.

Answer:

D. 0.74