Question

question 5 of 10
an 80% confidence interval for a proportion is found to be (0.52, 0.58). what is the sample proportion?
a. 0.55
b. 0.58
c. 0.54
d. 0.56

Explanation:

Step1: Recall the formula for confidence interval for proportion

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

Step2: Calculate the mid - point

The formula for the mid - point of an interval $(a,b)$ is $\hat{p}=\frac{a + b}{2}$. Here, $a = 0.52$ and $b=0.58$. So, $\hat{p}=\frac{0.52+0.58}{2}$.

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Answer:

A. 0.55