The following data come from a study designed to investigate drinking problems among college students. In 2013, a group of students were asked whether they had ever driven an automobile while drinking. In 2017, after the legal drinking age was raised, a different group of college students were asked the same question. Drove While Year Drinking 2013 2017 Total Yes 1236 1008 2244 No 1405 1657 3062 Total 2641 2665 5306 (a) Use the chi-square test to evaluate the null hypothesis that the population propor- tions of students who drove while drinking are the same in the two calendar years. (b) What do you conclude about the behavior of college students? (c) Again test the null hypothesis that the proportions of students who drove while drinking are identical for the two calendar years. This on the normal approximation to the binomial distribution (refer to slides 25 to 31 of Unit 12). Do you reach the same conclusion? time use the method based (d) Construct a 95% confidence interval for the true difference in population propor- tions. (e) Does the 95% confidence interval contain the value of 0? Would you have expected that it would?.

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The following data come from a study designed to investigate drinking problems among
college students. In 2013, a group of students were asked whether they had ever driven
an automobile while drinking. In 2017, after the legal drinking age was raised, a different
group of college students were asked the same question.
Drove While
Year
Drinking
2013
2017
Total
Yes
1236
1008
2244
No
1405
1657
3062
Total
2641
2665
5306
(a) Use the chi-square test to evaluate the null hypothesis that the population propor-
tions of students who drove while drinking are the same in the two calendar
years.
(b) What do you conclude about the behavior of college students?
(c) Again test the null hypothesis that the proportions of students who drove while
drinking are identical for the two calendar years. This time use the method based
on the normal approximation to the binomial distribution (refer to slides 25 to 31 of
Unit 12). Do you reach the same conclusion?
(d) Construct a 95% confidence interval for the true difference in population propor-
tions.
(e) Does the 95% confidence interval contain the value of 0? Would you have expected
that it would?.
Transcribed Image Text:The following data come from a study designed to investigate drinking problems among college students. In 2013, a group of students were asked whether they had ever driven an automobile while drinking. In 2017, after the legal drinking age was raised, a different group of college students were asked the same question. Drove While Year Drinking 2013 2017 Total Yes 1236 1008 2244 No 1405 1657 3062 Total 2641 2665 5306 (a) Use the chi-square test to evaluate the null hypothesis that the population propor- tions of students who drove while drinking are the same in the two calendar years. (b) What do you conclude about the behavior of college students? (c) Again test the null hypothesis that the proportions of students who drove while drinking are identical for the two calendar years. This time use the method based on the normal approximation to the binomial distribution (refer to slides 25 to 31 of Unit 12). Do you reach the same conclusion? (d) Construct a 95% confidence interval for the true difference in population propor- tions. (e) Does the 95% confidence interval contain the value of 0? Would you have expected that it would?.
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