Question

5 multiple choice 4 points
determine the sample proportion.
it has been determined with 95% confidence that the proportion of on - line students at spc who live in pinellas county is between 0.73 and 0.77.
determine the sample proportion of on - line spc students who live in pinellas county.
0.10
0.73
0.75
0.79
0.90

Explanation:

Step1: Recall the formula for the confidence interval for a proportion

The confidence interval for a proportion is given by $\hat{p}-E

Step2: Calculate the mid - point of the interval

The formula for the mid - point of an interval $[a,b]$ is $\hat{p}=\frac{a + b}{2}$. Here, $a = 0.73$ and $b=0.77$.

$$ \hat{p}=\frac{0.73+0.77}{2}=\frac{1.5}{2}=0.75 $$

Answer:

0.75