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Supermarket shoppers were observed and questioned immediately after putting an item in their cart. Of a...

Supermarket shoppers were observed and questioned immediately after putting an item in their cart. Of a random sample of 270 choosing a product at the regular​ price, 200 claimed to check the price before putting the item in their cart. Of an independent random sample of 230 choosing a product at a special​ price, 188 made this claim. Find a 99​% confidence interval for the difference between the two population proportions.

Let Px 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 answear<Px−Py<answear.

​(Round to four decimal places as​ needed.)

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