Freshmen at public universities work 12.4 hours a week for pay, on average and the SD is 9.6 hours. At private universities, the average is 11.1 hours and the SD is 8.1 hours. Assume these data are based on two independent simple random samples, each of size 900. What is the p-value of the null hypothesis that average number of weekly work hours is the same between freshmen in public and private universities?  Use a two-tailed test and choose the closest answer.

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