A restaurant sends customers in their loyalty program a coupon for a free birthday dessert. Suppose that 8 percent of the children and 12 percent of the adults redeem their coupons. The restaurant takes separate random samples of 100 children and 90 adults from their loyalty program to see the difference between the sample proportions( p ^ C − p ^ A ) p, with, hat, on top, start subscript,, C, end text, end subscript, minus, p, with, hat, on top, start subscript, start text, A, end text, end subscript, right parenthesis.