Logout Open In App
Open In App
Warning: foreach() argument must be of type array|object, bool given in /var/www/html/web/app/themes/studypress-core-theme/template-parts/header/mobile-offcanvas.php on line 20

Chapter 11: Q 23. (page 718)

Video games (1.1) To determine if there is a relationship between age and playing video games, the Pew Research Center asked randomly selected adults for their age and if they “ever play video games on a computer, TV, game console, or portable device like a cell phone.”3 Here is a two-way table summarizing the results of the study:

a. Construct a segmented bar graph to display the relationship between age group and response to the question about video games.

b. Describe the association shown in the segmented bar graph in part (a).

Short Answer

Expert verified

Part (a)

Part (b)

Step by step solution

01

Part (a) Step 1: Given information

02

Part (a) Step 2: Calculation

From the above distribution table, we must first generate a table with percentages for each age group. As a result, we must divide counts by the total of their respective columns, then multiply by 100

Following table shows that table:

Using table, the segmented graph will be

03

Part (b) Step 1: Calculation

The segmented graph will be:

The green portion of the bars rises with age, as shown in the graph. As a result, elderly persons are less likely to engage in video game activity.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

All current-carrying wires produce electromagnetic (EM) radiation, including the electrical wiring running into, through, and out of our homes. High-frequency EM radiation is thought to be a cause of cancer. The lower frequencies associated with household current are generally assumed to be harmless. To investigate the relationship between current configuration and type of cancer, researchers visited the addresses of a random sample of children who had died of some form of cancer (leukemia, lymphoma, or some other type) and classified the wiring configuration outside the dwelling as either a high-current configuration (HCC) or a low-current configuration (LCC). Here are the data:

Computer software was used to analyze the data. The output included the value X2=0.435

Which of the following may we conclude, based on the chi-square test results?

a. There is convincing evidence of an association between wiring configuration and the chance that a child will develop some form of cancer.

b. HCC either causes cancer directly or is a major contributing factor to the development of cancer in children.

c. Leukemia is the most common type of cancer among children.

d. There is not convincing evidence of an association between wiring configuration and the type of cancer that caused the deaths of children.

e. There is convincing evidence that HCC does not cause cancer in children.

Is your random number generator working? Use your calculator’s RandInt function to generate 200 digits from 0 to 9 and store them in a list.

a. State appropriate hypotheses for a chi-square test for goodness of fit to determine whether your calculator’s random number generator gives each digit an equal chance of being generated.

b. Carry out a test at the α=0.05 significance level. Hint: To obtain the observed

counts, make a histogram of the list containing the 200 random digits, and use the trace feature to see how many of each digit were generated. You may have to adjust your window to go from −0.5to9.5 with an increment of 1

c. Assuming that a student’s calculator is working properly, what is the probability that the student will make a Type I error in part (b)?

d. Suppose that 25 students in an AP® Statistics class independently do this exercise for homework and that all of their calculators are working properly. Find the probability that at least one of them makes a Type I error.

Seagulls by the seashore Do seagulls show a preference for where they land? To answer this question, biologists conducted a study in an enclosed outdoor space with a piece of shore whose area was made up of 56% sand, 29% mud, and 15% rocks. The biologists chose 200 seagulls at random. Each seagull was released into the outdoor space on its own and observed until it landed somewhere on the piece of shore. In all, 128 seagulls landed on the sand, 61 landed in the mud, and 11 landed on the rocks.

a. Do these data provide convincing evidence that seagulls show a preference for where they land?

b. Relative to the proportion of each ground type on the shore, which type of ground do the seagulls seem to prefer the most? The least?

Roulette Refer to Exercise 2.

a. Confirm that the expected counts are large enough to use a chi-square distribution to calculate the P-value. What degrees of freedom should you use?

b. Use Table C to find the P-value. Then use your calculator’s χ2 cdf command.

c. What conclusion would you draw about whether or not the roulette wheel is operating correctly?

For these data, χ2=69.8with a P-value of approximately 0. Assuming that the researchers used a significance level of 0.05, which of the following is true?

a. A Type I error is possible.

b. A Type II error is possible.

c. Both a Type I and a Type II error are possible.

d. There is no chance of making a Type I or Type II error because the P-value is approximately 0.

e. There is no chance of making a Type I or Type II error because the calculations are correct.
See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Calculus

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Discrete Mathematics

Read Explanation

Statistics

Read Explanation

Pure Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free