A marketing research company is estimating which of two soft drinks college students prefer. A random sample of n college students produced the following 95% confidence interval for the proportion of college students who prefer drink A: (.262, .622). Identify the point estimate for estimating the true proportion of college students who prefer that drink.

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Answer:

The point estimate for estimating the true proportion of college students who prefer that drink is 0.462.

Step-by-step explanation:

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

The point estimate for the true proportion is the midpoint between these two bounds, that is, the lower bound added to the upper bound, and divided by 2.

In this problem, we have that:

Lower bound: 0.262

Upper bound: 0.662

Identify the point estimate for estimating the true proportion of college students who prefer that drink.

p = (0.262 + 0.662)/2 = 0.462

The point estimate for estimating the true proportion of college students who prefer that drink is 0.462.