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Statistics from a survey conducted in Kansas show that the percentage of 12th graders who have used marijuana is 36%, versus 42% for the same survey conducted in Missouri. The study randomly chose students to survey, and there were 1,200 12th graders surveyed in both states. Construct a 95% confidence interval for the difference in the proportions of all 12th grade students in the two states that have used marijuana.
a. Which of the following is correct?
A) (-.099, -.021) B) (-.06) C) (.0273, .0927) D) (-.0192, 0.0092) E) (-.1949, .07494)
b. What will happen to the width of the confidence interval if a larger sample size is selected and the confidence level is kept the same?
A) It will get wider B) It will remain the same C) It will get narrower D) It will shift right. E) Cannot tell without knowing the level of confidence for the confidence interval.
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