About 778000 male and 886000 female high school students took the SAT in 2012. We want to decide whether the proportion Pm of men with scores above 550 on the of SAT reading tests is the same as the proportion Pf women with scores above 550 on the SAT reading tests. So we take as our null hypothesis that pm=Pf and as our alternative hypothesis pm pr. We decide to test this at level of significance 0.05. We sample 1037 males and find 339 have reading scores above 550. We also sample 1181 females and find 361 have reading scores above 550. Nm= %! %3D Pm The pooled estimate is i a = and The critical numbers are The value of the test statistic (Pm-êp/p*(1-p)*(1/nm +1/n,) is TS = %3D The P-value is P= (Give the P- value to four decimal places)

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