sample proportions and margin of error: mastery test\n5\nselect the correct answer.\nin a random sample of…

sample proportions and margin of error: mastery test\n5\nselect the correct answer.\nin 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?\na. 0.13\nb. 0.48\nc. 0.63\nd. 0.74

sample proportions and margin of error: mastery test\n5\nselect the correct answer.\nin 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?\na. 0.13\nb. 0.48\nc. 0.63\nd. 0.74

Answer

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