Question

Give a correct interpretation of a 99% confidence level of 0.102 < p < 0.236.

Answer 1

We are 99% confident that the interval from 0.102 to 0.236 actually does contain the true value of the population proportion p.

Answer 2

Explanation:

Given that there is a confidence interval with lower limit =0.102 and upper limit = 0.236 for p.

Here p is the sample proportion.

Mean of p = average of lower and upper bound =
`(0.102+0.236)/(2) =0.169`

Average proportion expected is 0.169

And it can have margin of error as + or - 0.067

THus interpretation is the sample proportion will have a point estimate of 0.169 and we are 99% confident, when sample sizes increase and samples are randomly drawn, the proportion of the samples would fall within the values (0.102, 0.236)