An educator wants to know how male teachers affect learning among little boys. To begin his analysis, he plans to compare rates of male elementary school teachers across Sweden and the United States. He takes a random sample of 542 Swedish teachers and finds 268 are male. In the United States, he takes a random sample of 647 teachers and finds 262 are male. The standard error of the difference between them is 0.0289. Suppose he plans to perform a test of the hypothesis H0: pSweden - pUSA = 0 vs. Ha: pSweden - pUSA ≠ 0. Given the test statistic 3.100, what would be the p-value for his test? (3 decimal places)

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An educator wants to know how male teachers affect learning among little boys. To begin his analysis, he plans to compare rates of male elementary school teachers across Sweden and the United States. He takes a random sample of 542 Swedish teachers and finds 268 are male. In the United States, he takes a random sample of 647 teachers and finds 262 are male. The standard error of the difference between them is 0.0289.

Suppose he plans to perform a test of the hypothesis H0: pSweden - pUSA = 0 vs. Ha: pSweden - pUSA ≠ 0. Given the test statistic 3.100, what would be the p-value for his test? (3 decimal places) 
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