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In a recent survey of high school seniors, a random sample of 1000 females showed that 650 were planning on pursuing a college degree, while a random sample of 1000 females showed that 600 were planning on pursuing a college degree. Construct a 95% confidence interval for the difference between the portion of females and males that plan on pursuing degree, p1-p2, rounded to 4 decimal places. Is there a difference in the proportion of female and the proportion of males who pursue a college degree and why?

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