Data collected in the 2010 U.S. census showed that men represent 49.2% of the po

Question

Data collected in the 2010 U.S. census showed that men represent 49.2% of the population and women represent 50.8% of the population. A researcher plans to survey 5 rural hospitals and calculate the difference in sample proportions between male births and female births. At each hospital, the researcher will record the percentage of male births and the percentage of female births. Assume each hospital has about 100 births per year. We define the difference in sample proportions as "male" minus "female." The standard error is about o.o7. Which sequence of sample differences is the most likely? A. o.12, 0, -0.25, -0.08, 0.23 B. o.017, o.039, -0.010,-o.o81, -o.005 C. -0.016,-0.016, o,-o.016,-o.016

Explanation / Answer

Here standard error = 0.07

so mean difference = 0.508 - 0.492 = 0.016

so option B is the most likely choice for sequence of sample difference.

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