The Article "Freedom of What?" (Associated Press, February 1, 2005)

Multiple Choice

The article "Freedom of What?" (Associated Press, February 1, 2005) described a study in which high school students and high school teachers were asked whether they agreed with the following statement: "Students should be allowed to report controversial issues in their student newspapers without the approval of school authorities." Researchers hypothesized that the long-run proportion of high school teachers who would agree with the statement would differ from the long-run proportion of high school students who would agree. Two random samples - 8,000 high school teachers and 10,000 high school students - were selected from high schools in the U.S. It was reported that 39% of the teachers surveyed and 58% of the students surveyed agreed with the statement.
-Describe how you could use cards to simulate a single sample statistic in the null distribution.

A) Take 8,000 red cards and 10,000 blue cards. Shuffle the cards together, then deal the cards into two piles - one of size 8,000 and one of size 10,000. Compute the difference in the proportion of red cards between the two piles.
B) Take 8,000 red cards and 10,000 blue cards. Shuffle the cards together, then deal the cards into two piles - one of size 3,120 and one of size 5,800. Compute the difference in the proportion of red cards between the two piles.
C) Take 8,920 red cards and 9,080 blue cards. Shuffle the cards together, then deal the cards into two piles - one of size 8,000 and one of size 10,000. Compute the difference in the proportion of red cards between the two piles.
D) Take 8,920 red cards and 9,080 blue cards. Shuffle the cards together, then deal the cards into two piles - one of size 4,640 and one of size 3,900. Compute the difference in the proportion of red cards between the two piles.