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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, “What do you think are the chances you will be married in the next 10years?” Here is a two-way table of the responses by gender:

Which of the following is the expected count of females who respond “Almost certain”?

a.487.7

b.525

c. 965

d.1038.8

e.1174

Short Answer

Expert verified

Option (d) Expected count of females who respond “almost certain” is 1038.8.

Step by step solution

01

Given information

We have to identify the expected count of females who respond “almost certain”.

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 50−50 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, “What do you think are the chances you will be married in the next 10years?” 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’ opinions about marriage in this sample.

c. There is no difference between the distributions of female and male teenagers’ 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.

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?

Tuition bills A random sample of U.S. adults was recently asked, “Would you support or oppose major new spending by the federal government that would help undergraduates pay tuition at public colleges without needing loans?” The two-way table shows the responses, grouped by age.

Do these data provide convincing evidence of an association between age and opinion about loan-free tuition in the population of U.S. adults?

Which test?Determine which chi-square test is appropriate in each of the following settings. Explain your reasoning.

a. Does chocolate help heart-attack victims live longer? Researchers in Sweden randomly selected 1169people who had suffered heart attacks and asked them about their consumption of chocolate in the previous year. Then the researchers followed these people and recorded whether or not they had died within 8years.

b. Random-digit-dialing telephone surveys used to exclude cell-phone numbers. If the opinions of people who have only cell phones differ from those of people who have landline service, the poll results may not represent the entire adult population. The Pew Research Center interviewed separate random samples of cell-only and landline telephone users who were less than 30years old and asked them to describe their political party affiliation

“Will changing the rating scale on a survey affect how people answer the question?” To find out, the group took an SRS of 50students from an alphabetical roster of the school’s just over 1000students. The first 22students chosen were asked to rate the cafeteria food on a scale of 1(terrible) to 5(excellent). The remaining 28students were asked to rate the cafeteria food on a scale of 0(terrible) to 4(excellent). Here are the data:

The students decided to compare the average ratings of the cafeteria food on the two scales.

a. Find the mean and standard deviation of the ratings for the students who were given the 1to5scale.

b. For the students who were given the 0to4scale, the ratings have a mean of 3.21and a standard deviation of 0.568. Since the scales differ by one point, the group decided to add 1to each of these ratings. What are the mean and standard deviation of the adjusted ratings?

c. Would it be appropriate to compare the means from parts (a) and (b) using a two-sample t test? Justify your answer
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