The following data come from a study designed to investigate drinking problems amongcollege students. In 2013, a group of students were asked whether they had ever drivenan automobile while drinking. In 2017, after the legal drinking age was raised, a differentgroup of college students were asked the same question.Drove WhileYearDrinking20132017TotalYes123610082244No140516573062Total264126655306(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 calendaryears.(b) What do you conclude about the behavior of college students?(c) Again test the null hypothesis that the proportions of students who drove whiledrinking are identical for the two calendar years. This time use the method basedon the normal approximation to the binomial distribution (refer to slides 25 to 31 ofUnit 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 expectedthat it would?.

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Answered: The following data come from a study…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The General Social Survey is an annual survey given to a random selection of about 1500 adults in the United States. Among the many questions asked are "What is the highest level of education you've completed?" and "If you're employed full-time, how many hours do you spend working at your job during a typical week?" In a recent year, 1079 respondents answered both questions. The summary statistics are given in the chart below. (The sample data consist of the times, in hours per week, that were given by the respondents.) Sample Sample Sample size Groups mean variance Less than h.s. High school Bachelor's 258 40.9 101.8 263 41.8 97.5 270 42.2 94.4 Graduate 288 43.0 98.7 Send data to calculator Send data to Excel To decide if there are any differences in the mean hours per week worked by these different groups, we can perform a one-way, independent-samples ANOVA test. Such a test uses the following statistic. Variation between the samples F= Variation within the samples For the data from…
A study was conducted to examine the impact of speaking in public on college students. A class of 15 statistics students participated in the study. At the beginning of a lecture the students recorded their systolic blood pressure. During the lecture the instructor called on each student to stand and answer questions about topics in the lecture. After speaking the students once again recorded their blood pressure. The resulting values are given below along with summary statistics. before 107 123 128 125 136 108 130 113 105 136 146 138 108 149 132 after 141 142 146 136 144 111 132 114 103 133 140 130 100 133 113 difference -34 -19 -18 -11 -8 -3 -2 -1 2 3 6 8 8 16 19 before after difference mean 125.6 127.9 -2.267 st dev 14.53 15.45 14.03 Does this information indicate that blood pressure increased because of speaking? Conduct an appropriate hypothesis test and show appropriate steps. Let μ1 mean systolic blood pressure before speaking in public, and μ2 mean…
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