A geography test was given to a simple random sample of 500 high-school students in a certain large school district. One question involved an outline map of Europe, with the countries identified only by number. The students were asked to pick out Great Britain and France. As it turned out, 65.6% could find France, compared to 70.4% for Great Britain. Select all statements below that are true. a. Students are different in recognizing France versus Great Britain, and this difference is statistically significant.   b. The z-test is not valid because there is dependence between observations in France and Great Britain groups.   c. Each ticket in the box model corresponds to a student and has two values, one for the ability to pick France and another for Great Britain. The values can be 0 or 1.   d. This is an example of randomized treatment-control experiment.

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A geography test was given to a simple random sample of 500 high-school students in a certain large school district. One question involved an outline map of Europe, with the countries identified only by number. The students were asked to pick out Great Britain and France. As it turned out, 65.6% could find France, compared to 70.4% for Great Britain.

Select all statements below that are true.


a. Students are different in recognizing France versus Great Britain, and this difference is statistically significant.
 
b. The z-test is not valid because there is dependence between observations in France and Great Britain groups.
 
c. Each ticket in the box model corresponds to a student and has two values, one for the ability to pick France and another for Great Britain. The values can be 0 or 1.
 
d. This is an example of randomized treatment-control experiment.
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