Supermarket shoppers were observed and questioned immediately after putting an item in their cart. Of a random sample of 260 choosing a product at the regular price, 179 claimed to check the price before putting the item in their cart. Of an independent random sample of 240 choosing a product at a special price, 160 made this claim. Find a 99% confidence 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 99% confidence interval is (Round to four decimal places as needed.)

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