Question

Find the point estimate of the proportion of people who wear hearing aids if, in a random sample of 493 people, 40 people had hearing aids.

Answer 1

Answer: 0.0811

Explanation:

In the absence of complete data , the sample proportion is considered as the point estimate of the population proportion .

Given : Sample size of people : n= 493

Number of people had hearing aids : x = 40

Let p be the proportion of people who wear hearing aids.

Now , the sample proportion :
`\hat{p}=(40)/(493)\approx0.0811`

Thus , the point estimate of the proportion of people who wear hearing aids si 0.0811.

Answer 2

Point estimate proportion is the average of lower and upper interval limit.

Point estimate proportion )p) = x/n
Where x = observations, n=sample size

Substituting;

p= 40/493 = 0.0811