Question

if n=100 and X=30​, construct a 95​% confidence interval estimate for the population proportion.

Answer 1

We are given n = 100 put of which we observe 30 successes (X = 30)

Now, we know that, the formula for a confidence interval estimate of the population proportion 'p' is given by:

where

Now, here

Thus,

Thus,

0.3 - 0.089817 < p < 0.3 + 0.089817

0.210183 < p < 0.389817 ,which is the required confidence interval.

For any queries, feel free to comment and ask.

If the solution was helpful to you, don't forget to upvote it by clicking on the 'thumbs up' button