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

Question

Accepted Answer

# Explanation:
## Step1: Recall the formula for confidence interval for proportion
The confidence interval for a proportion is given by $\hat{p}-E<p<\hat{p} + E$, where $\hat{p}$ is the sample proportion and $E$ is the margin of error. The mid - point of the confidence interval is the sample proportion.
## 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, $\hat{p}=\frac{0.52+0.58}{2}$.
$$
\begin{align*}
\hat{p}&=\frac{0.52 + 0.58}{2}\
&=\frac{1.1}{2}\
&=0.55
\end{align*}
$$

# Answer:
A. 0.55

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Question

Explanation:

Step1: Recall the formula for confidence interval for proportion

Step2: Calculate the mid - point

Answer: