Question

Italian Barolo ~ Italy is famous for several types of wine. The region of Piedmont is famous for a type of wine called "Barolo". A wine salesperson wants to know the demand for Barolo wine sold at Supermarkets. He selects a random sample of wine sales from a popular supermarket and constructs a 95% confidence interval for the actual proportion of Barolo wine sold to be (0.2931, 0.4396). What is the sample proportion? Give the exact answer as a decimal.

Answer 1

The sample proportion is 0.36635

Explanation:

A confidence interval has two bounds, a lower bound and an upper bound.

The sample proportion is the halfway point betwen those two bounds, that is, the sum of those bounds divided by 2.

In this problem, we have that:

Lower bound: 0.2931

Upper bound: 0.4396

What is the sample proportion?

(0.2931 + 0.4396)/2 = 0.36635

The sample proportion is 0.36635