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Chapter 11: Q. 56 (page 758)

The National Longitudinal Study of Adolescent Health interviewed a random sample of 4877teens (grades 7to 12). One question asked, 鈥淲hat do you think are the chances you will be married in the next 10years?鈥� Here is a two-way table of the responses by gender:

Which of the following is the expected count of females who respond 鈥淎lmost certain鈥�?

a.487.7

b.525

c. 965

d.1038.8

e.1174

Short Answer

Expert verified

Option (d) Expected count of females who respond 鈥渁lmost certain鈥� is 1038.8.

Step by step solution

01

Given information

We have to identify the expected count of females who respond 鈥渁lmost certain鈥�.

02

Simplification

Given information two way tables is:

Opinion about marriage female male Total
Almost no chance 119 103 222
Some chance but probably not 150171321
A 50鈭�50 chance 447512959
A good chance 7357101445
Almost certain1174 7561930
Total 2625 2252 4877

For the given data expected count is 1038.8.

Thus, Option (d) is correct.

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Most popular questions from this chapter

The National Longitudinal Study of Adolescent Health interviewed a random sample of 4877teens (grades 7to 12). One question asked, 鈥淲hat do you think are the chances you will be married in the next 10years?鈥� Here is a two-way table of the responses by gender:

Which of the following is the appropriate null hypothesis for performing a chi-square test?

a. Equal proportions of female and male teenagers are almost certain they will be married in 10years.

b. There is no difference between the distributions of female and male teenagers鈥� opinions about marriage in this sample.

c. There is no difference between the distributions of female and male teenagers鈥� opinions about marriage in the population.

d. There is no association between gender and opinion about marriage in the sample.

e. There is no association between gender and opinion about marriage in the population.

Is astrology scientific? The General Social Survey (GSS) asked a random sample of adults their opinion about whether astrology is very scientific, sort of scientific, or not at all scientific. Here is a two-way table of counts for people in the sample who had three levels of higher education:

a. State appropriate hypotheses for performing a chi-square test for independence in this setting.

b. Compute the expected counts assuming that H0is true.

c. Calculate the chi-square test statistic, df, and P-value.

d. What conclusion would you draw?

What鈥檚 your sign? The University of Chicago鈥檚 General Social Survey (GSS) is the nation鈥檚 most important social science sample survey. For reasons known only to social scientists, the GSS regularly asks a random sample of people their astrological sign. Here are the counts of responses from a recent GSS of 4344 people:

If births are spread uniformly across the year, we expect all 12 signs to be equally likely. Do these data provide convincing evidence at the 1% significance level that all 12 signs are not equally likely?

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

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?
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