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Chapter 11: Q. 51 (page 757)
Where do you live? Conduct a follow-up analysis for the test in Exercise 49.
We note that the expected value is higher than the observed counts of females for the category "Parents' home".
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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?
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 students 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.
b.
c.
d.
e.
Sorry, no chi-square We would prefer to learn from teachers who know their subject. Perhaps even preschool children are affected by how knowledgeable they think teachers are. Assign three- and four-year-olds at random to be taught the name of a new toy by either an adult who claims to know about the toy or an adult who claims not to know about it. Then ask the children to pick out a picture of the new toy from a set of pictures of other toys and say its name. The response variable is the count of right answers in four tries. Here are the data:
The researchers report that children who were taught by the teacher claiming to be knowledgeable did significantly better (), Explain why this result isn't valid.
In the United States, there is a strong relationship between education and smoking: well-educated people are less likely to smoke. Does a similar relationship hold in France? To find out, researchers recorded the level of education and smoking status of a random sample of French men aged years. The two-way table displays the data.
Is there convincing evidence of an association between smoking status and educational level among French men agedyears?
A random sample of traffic tickets given to motorists in a large city is examined. The tickets are classified according to the race or ethnicity of the driver. The results are summarized in the following table.
The proportion of this city's population in each of the racial/ethnic categories listed is as follows.
We wish to test : The racial/ethnic distribution of traffic tickets in the city is the same as the racial/ethnic distribution of the city's population.
The category that contributes the largest component to the test statistic is a. White, with fewer tickets than expected.
b. White, with more tickets than expected.
c. Hispanic, with fewer tickets than expected.
d. Hispanic, with more tickets than expected.
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