Question

in a poll of 158 students at a tech college 76 said they would vote for keon for president of the student union. find the sample proportion rounded to 2 decimal places. 0.51 0.47 0.48 0.49

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 students who would vote for Keon) and $n$ is the sample size.
Here, $x = 76$ and $n=158$.

Step2: Calculate the sample proportion

Substitute the values into the formula: $\hat{p}=\frac{76}{158}$.
Using a calculator, $\frac{76}{158}\approx0.481$.

Step3: Round to two decimal places

Rounding $0.481$ to two decimal places, we look at the third decimal digit. Since $1<5$, we keep the second decimal digit as it is. So, $\hat{p}\approx0.48$.

Answer:

C. 0.48