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Chapter 11: Q.1.1 (page 698)

The Pennsylvania State University has its main campus in the town of State College and more than 20smaller “commonwealth campuses” around the state. The Penn State Division of Student Affairs polled separate random samples of undergraduates from the main campus and commonwealth campuses about their use of online social networking. Facebook was the most popular site, with more than 80%of students having an account. Here is a comparison of Facebook use by undergraduates at the main campus and commonwealth campuses who have a Facebook account:

Calculate the conditional distribution (in proportions) of Facebook use for each campus setting?

Short Answer

Expert verified

The conditional distribution is

Step by step solution

01

Given Information

The table is ,

02

Explanation

The conditional distribution of the use of Facebook for both of the campus settings can be computed as:

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Most popular questions from this chapter

The nonprofit group Public Agenda conducted telephone interviews with three randomly selected groups of parents of high school children. There were 202black parents, 202Hispanic parents, and 201white parents. One question asked was “Are the high schools in your state doing an excellent, good, fair, or poor job, or don’t you know enough to say?” Here are the survey results:

(a) Calculate the conditional distribution (in proportions) of responses for each group of parents.

(b) Make an appropriate graph for comparing the conditional distributions in part (a).

(c) Write a few sentences comparing the distributions of responses for the three groups of parents

Aspirin prevents blood from clotting and so helps prevent strokes. The Second European Stroke Prevention Study asked whether adding another anticlotting drug named dipyridamole would be more effective for patients who had already had a stroke. Here are the data on strokes during the two years of the study:

(a) Summarize these data in a two-way table.

(b) Make a graph to compare the rates of strokes for the four treatments. Describe what you see.

(c) Explain in words what the null hypothesis H0: p1 = p2 = p3 = p4 says about the incidence of strokes.

(d) Find the expected counts if H0 is true, and display them in a two-way table similar to the table of observed counts

Representative sample? For a class project, a group of statistics students is required to take an SRS of students from their large high school to take part in a survey. The students’ sample consists of 54freshmen, 66sophomores, 56juniors, and 30seniors. The school roster shows that 29%of the students enrolled at the school are freshmen, 27%are sophomores, 25% are juniors, and 19% are seniors.

(a) Construct a well-labeled bar graph that shows the distribution of grade levels (in percents) for the sample data. Do these data give you any reason to suspect that the statistics students’ sample is unusual? Explain. (b) Use an appropriate test to determine whether the sample data differ significantly from the actual distribution of students by grade level at the school.

Your teacher prepares a large container full of colored beads. She claims that 1/8of the beads are red, 1/4are blue, and the remainder are yellow. Your class will take a simple random sample of beads from the container to test the teacher’s claim. The smallest number of beads you can take so that the conditions for performing inference are met is

(a) 15. (c) 30. (e) 80.

(b) 16. (d) 40

Use FacebookMain CampusCommon wealthSeveral times a month or less5576At least once a week215157At least once a day640394Total Facebook users910627

Use Table C to find the p-value. Then use your calculator’sχ2cdf command.
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