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Chapter 1: Q 27. (page 25)

The National Survey of Adolescent Health interviewed several thousand teens (grades 7 to 12). One question asked was “What do you think are the chances you will be married in the next ten years?” Here is a two-way table of the responses by gender:


The percentage of females among the respondents was

(a) 2625 (c) about 46%. (e) None of these.

(b) 4877 (d) about 54%.

Short Answer

Expert verified

The correct option is (d) about 54%

Step by step solution

01

Given information

The responses by gender are displayed in a two-way table:


FemaleMale
Almost no chance119103
Some chance, but probably not150171
A 50-50 chance447512
A good chance735710
Almost certain1174756
02

Concept

There is a real-world scenario for a statistical problem. The four processes of state, plan, do, and conclusions can be used to organize a variety of situations.

03

Explanation

The following are the results of a countrywide study of adolescent health interviews of youths (males and females):

Females made up roughly 54%of the total number of responders. As a result, option (d) is correct.


FemaleMalesTotal
Almost No chance119103222
Some chance150171321
A 50-50 chance447512959
A good chance7357101445
Almost certain11747561930
Total262522524877
Percentage of males or females53.8240721846.17592782

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Most popular questions from this chapter

Use the data in the two-way table on page 12 to calculate the marginal distribution (in percents) of gender.

Which of the following statements about this distribution is not correct?

(a) The histogram is right-skewed.

(b) The median is less than \(20

(c) The IQR is \)35

(d) The mean is greater than the median.

(e) The histogram is unimodal.

Where do the young live? Below is a stem plot of the percent of residents aged 25 to 34 in each of the 50 states. As in the stem plot for older residents (page 35), the stems are whole percent and the leaves are tenths of a percent. This time, each stem has been split in two, with values having leaves 0 through4 placed on one stem, and values ending in 5 through 9 placed on another stem.

(a) Why did we split stems?

(b) Utah has the highest percentage of residents aged 25 to 34. What is that percent? Why do you think Utah has an unusually high percentage of residents in this age group?

(c) Describe the shape, center, and spread of the distribution, ignoring Utah.

Snowmobiles in the park Yellowstone National Park surveyed a random sample of 1526 winter visitors to the park. They asked each person whether they owned, rented, or had never used a snowmobile. Respondents were also asked whether they belonged to an environmental organization (like the Sierra Club). The two-way table summarizes the survey responses.

Do these data provide convincing evidence of an association between environmental club membership and snowmobile use for the population of visitors to Yellowstone National Park? Follow the four-step process.

Baseball paradox Most baseball hitters perform differently against right-handed and left-handed pitching. Consider two players, Joe and Moe, both of whom bat right-handed. The table below records their performance against right-handed and left-handed pitchers:

(a) Use these data to make a two-way table of player (Joe or Moe) versus outcome (hit or no hit).

(b) Show that Simpson’s paradox holds: one player has a higher overall batting average, but the other player hits better against both left-handed and right-handed pitching.

(c) The manager doesn’t believe that one player can hit better against both left-handers and right-handers yet have a lower overall batting average. Explain in

simple language why this happens to Joe and Moe.
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