Question

Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p.

A survey of 300 union members in New York State reveals that 112 favor the Republican candidate for governor. Construct the 98% confidence interval for the true population proportion of all New York State union members who favor the Republican candidate.

Answer 1

{0.3084,0.4383}

Explanation:

`CI_(98\%)=(112)/(300)\pm 2.326\sqrt{((112)/(300)(1-(112)/(300)))/(300)}\approx\{0.3084,0.4383\}`