Statistics- A random digit dialing telephone survey of 880 drivers asked

QUESTION

Excel Worksheet 6–Math 243–Fall 2015(Total: 22 points)Instructions: Read this very carefully. In one Excel file create two sheets. Label one sheet“Problem 1” and label the second sheet “Problem 2.” Your solutions to the two problems shouldbe recorded on the corresponding sheet. Additionally, you should clearly label each part of theproblems with (a), (b), etc., and every computation should be labeled. For example, in the cellnext to the mean of the data, you should have typed the word mean or average.Be sure to do your computations using Excel. Do not do computations using Table A, Table C, oron a calculator and then type the answers into Excel.1. (6 points) A random digit dialing telephone survey of 880 drivers asked, “Recalling thelast ten traffic lights you drove through, how many of them were red when you entered theintersections?” Of the 880 respondents, 171 admitted that at least one light had been red.Give a 95% confidence interval for the proportion of all drivers who ran one or more of thelast ten red lights they met. State explicitly whether you are using a large-sample or plusfour confidence interval and why.2. During the 2012-2013 academic year the 8% of the students at the UO spent at least one termstudying abroad. The exchange office thinks this number is on the rise. They asked a simplerandom sample of 650 students whether they planned to study abroad during the 2016-2017academic year. 60 of those students said yes.(a) (4 points) Consider the question: Is the percent of students studying abroad going up?Give the null and alternative hypotheses for this question in terms of the proportion ofstudents, p, who plan to study abroad.(b) (4 points) Find the z test statistic.(c) (4 points) What is the P -value for your z?(d) (4 points) What do you conclude about the percent of students planning to studyabroad in 2016-2017?

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