Question

A survey of 100 fatal accidents showed that in 26 cases the driver at fault was inadequately insured. Find a point estimate for​ p, the population proportion of accidents where the driver at fault was inadequately insured A. 0.206 B. 0.74 C. 0.26 D. 0.351

Answer 1

Answer: C. 0.26

Explanation:

We know that , the sample proportion is the best point estimate for the population proportion in a statistical study.

Let p be the population proportion of accidents where the driver at fault was inadequately insured.

Given : A survey of 100 fatal accidents showed that in 26 cases the driver at fault was inadequately insured.

Then, best estimate for​ p, the population proportion of accidents where the driver at fault was inadequately insured =
`(26)/(100)=0.26`

Hence, the correct answer is C. 0.26.

Answer 2

Explanation:

Given that a survey of 100 fatal accidents showed that in 26 cases the driver at fault was inadequately insured

Sample proportion =
`(26)/(100) =0.26`

As per central limit theorem, the sample proportion p is normal with mean = p and variance = pq/n.

Hence point estimate for population proportion = sample proportion

Here the point estimate for​ p, the population proportion of accidents where the driver at fault was inadequately insured is 0.26

i.e. option C