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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.

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Most popular questions from this chapter

The manager of a high school cafeteria is planning to offer several new types of food for student lunches in the new school year. She wants to know if each type of food will be equally popular so she can start ordering supplies and making other plans. To find out, she selects a random sample of 100students and asks them, “Which type of food do you prefer: Ramen, tacos, pizza, or hamburgers?” Here are her data:

The chi-square test statistic is

a. (18−25)225+(22−25)225+(39−25)225+(21−25)225

b. (25−18)218+(25−22)222+(25−39)239+(25−21)221

c. (18−25)25+(22−25)25+(39−25)25+(21−25)25

d. (18−25)2100+(22−25)2100+(39−25)2100+(21−25)2100

e. (0.18−0.25)20.25+(0.22−0.25)20.25+(0.39−0.25)20.25+(0.21−0.25)20.25

Where do you live? Conduct a follow-up analysis for the test in Exercise 49.

The nonprofit group Public Agenda conducted telephone

interviews with three randomly selected groups of parents of high school children. There

were 202 black parents, 202 Hispanic parents, and 201 white parents. One question asked,

“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:

Do these data provide convincing evidence that the distributions of opinion about high

schools differ for the three populations of parents?

Testing a genetic model Biologists wish to cross pairs of tobacco plants having genetic makeup Gg, indicating that each plant has one dominant gene (G) and one recessive gene (g) for color. Each offspring plant will receive one gene for color from each parent. The Punnett square shows the possible combinations of genes received by the offspring.

The Punnett square suggests that the expected ratio of green (GG) to yellow-green (Gg) to albino (gg) tobacco plants should be 1:2:1. In other words, the biologists predict that 25%of the offspring will be green, 50%will be yellow-green, and 25%will be albino. To test their hypothesis about the distribution of offspring, the biologists mate 84randomly selected pairs of yellow-green parent plants. Of 84offspring, 23plants were green, 50were yellow-green, and 11 were albino. Do the data provide convincing evidence at the α=0.01 level that the true distribution of offspring is different from what the biologists predict?

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?
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