Many stores sell extended warranties for products they sell. These are very lucrative for store owners. To learn more about who buys these warranties, a random sample of a store's customers who recently purchased a product for which a extended warranty was available was drawn. Among other variables each respondent reported whether they paid the regular price or a sale price and whether they purchased an extended warranty.

Regular Price

Sale Price

Sample size

229

178

Number who bought extended warranty

47

25

Construct 95% confidence interval for the difference of proportions between those who paid the regular price and those who paid the sale price in buy an extended warranty?

what is the confidince limit and the conclusion