In order to determine whether to pitch a new advertising campaign more toward men or women, an
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In order to determine whether to pitch a new advertising campaign more toward men or women, an advertiser provided each couple in a random sample of 500 married couples with a new type of TV remote control that is supposed to be easier to find when needed. Of the 500 husbands, 62% said that the new remote was easier to find than their old one. Of the 500 wives, only 54% said the new remote was easier to find. Let p1 be the population proportion of married men who think that the new remote is easier to find, and let p2 be the corresponding proportion of married women. Can the statistic p̂1 − p̂2 = 0.62 − 0.54 be used to test H0 : p1 − p2 = 0 versus H1 : p1 − p2 ≠ 0? If so, perform the test and compute the P-value. If not, explain why not.
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