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College Students and Drinking Habits: A public health official is studying differences in drinking habits among students at two different universities. They collect a random sample of students independently from each of the two universities and ask each student how many alcoholic drinks they consumed in the previous week.The official conducts a two-sample t-test to determine whether these data provide significant evidence that students at University 1 drink more than students at University 2. The test statistic is t = 2.64 with a p-value 0.005.Which of the following is an appropriate conclusion? The samples provide significant evidence that students at University 1 drink more than students at University 2. The samples do not provide statistically significant evidence that there is a difference in drinking habits at the two universities. We cannot use the t-test in this case because the variables (number of drinks) are likely skewed to the right at each university.

Question

College Students and Drinking Habits: A public health official is studying differences in drinking habits among students at two different universities. They collect a random sample of students independently from each of the two universities and ask each student how many alcoholic drinks they consumed in the previous week.The official conducts a two-sample t-test to determine whether these data provide significant evidence that students at University 1 drink more than students at University 2. The test statistic is t = 2.64 with a p-value 0.005.Which of the following is an appropriate conclusion? The samples provide significant evidence that students at University 1 drink more than students at University 2. The samples do not provide statistically significant evidence that there is a difference in drinking habits at the two universities. We cannot use the t-test in this case because the variables (number of drinks) are likely skewed to the right at each university.

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Solution

The appropriate conclusion is that the samples provide significant evidence that students at University 1 drink more than students at University 2. This is because the p-value is 0.005, which is less than the commonly used significance level of 0.05. This means that the difference in drinking habits between the two universities is statistically significant. The t-test statistic of 2.64 further supports this conclusion.

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Similar Questions

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