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question 16 of 25 a 90% confidence interval for a proportion is found t…

Question

question 16 of 25
a 90% confidence interval for a proportion is found to be (0.52, 0.58). what is
the sample proportion?

a. 0.54
b. 0.58
c. 0.55
d. 0.56

Explanation:

Step1: Recall confidence interval center

The sample proportion is the midpoint of the confidence interval.

Step2: Calculate midpoint

Midpoint = $\frac{\text{lower bound} + \text{upper bound}}{2} = \frac{0.52 + 0.58}{2}$

Step3: Compute the value

$\frac{1.10}{2} = 0.55$

Answer:

C. 0.55