Question

in a survey of 240 u.s. teachers, 65 said that all or almost all of the information they find using search engines online is accurate or trustworthy. find the sample proportion p - hat rounded to 2 decimal places
0.25
0.26
0.27
0.28

Explanation:

Step1: Recall the formula for sample proportion

The formula for sample proportion $\hat{p}$ is $\hat{p}=\frac{x}{n}$, where $x$ is the number of successes (in this case, the number of teachers who said the information is accurate) and $n$ is the sample size.
Here, $x = 65$ and $n=240$.

Step2: Calculate the sample proportion

Substitute the values into the formula: $\hat{p}=\frac{65}{240}$.
Using a calculator, $\frac{65}{240}\approx0.270833$.

Step3: Round to two decimal places

Rounding $0.270833$ to two decimal places, we look at the third decimal digit. The third decimal digit is $0$. Since $0<5$, we keep the second decimal digit as it is.

Answer:

$0.27$