Question

g She collects a random sample of Iris flowers of all species and constructs a 95% confidence interval to be (0.2987, 0.4232). What is the sample proportion? Give the exact answer as a decimal.

Answer 1

The sample proportion is 0.36095.

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: 0.2987

Upper bound: 0.4232

What is the sample proportion?

(0.2987 + 0.4232)/2 = 0.36095

The sample proportion is 0.36095.