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Chapter 11: Q. 57 (page 758)
Which of the following is the correct number of degrees of freedom for the chi-square test using these data?
a.
b.
c.
d.
e.
Option (a) The degrees of freedom for the chi-square test for this two-way table are .
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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鈥檚 蠂2 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, 鈥淲hich type of food do you prefer: Ramen, tacos, pizza, or hamburgers?鈥� Here are her data:
Which of the following is false?
a. A chi-square distribution with k degrees of freedom is more right-skewed than a chi square distribution with degrees of freedom.
b. A chi-square distribution never takes negative values.
c. The degrees of freedom for a chi-square test are determined by the sample size.
d. is greater when than when
e. The area under a chi-square density curve is always equal to
You say tomato The paper 鈥淟inkage Studies of the Tomato鈥� (Transactions of the Canadian Institute, ) reported the following data on phenotypes resulting from crossing tall cut-leaf tomatoes with dwarf potato-leaf tomatoes. We wish to investigate whether the following frequencies are consistent with genetic laws, which state that the phenotypes should occur in the ratio
Assume that the conditions for inference are met. Carry out a test at the significance level of the proposed genetic model.
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 people 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 years.
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 years old and asked them to describe their political party affiliation
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, 鈥淲hich type of food do you prefer: Ramen, tacos, pizza, or hamburgers?鈥� Here are her data:
An appropriate null hypothesis to test whether the food choices are equally popular is
a. where the mean number of students that prefer each type of food.
b. where p = the proportion of all students who prefer ramen.
c. where is the number of students in the school who would choose ramen, and so on.
d.where is the proportion of students in the school who would choose ramen, and so on.
e. , where is the proportion of students in the sample who chose ramen, and so on.
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