Supermarket shoppers were observed and questioned immediately after putting an item in their cart Of a random sample of 210 choosing a product at the regular price. 138 claimed to check the price before putting the item in their cart Of an independent random sample of 290 choosing a product at a special price, 202 made this claim. Find a 95% condence interval for the difference between the two population proportions. Let P)( be the population proportion of shoppers choosing a product at the regular price who claim to check the price before putting it into their cart and let Py be the population proportion of shoppers choosing a product at a special price who claim to check the price before putting it into their cart. The 95% condence interval is