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Chapter 11: Q. 36 (page 725)

Does eating chocolate trigger headaches? To find out, women with chronic headaches followed the same diet except for eating chocolate bars and carob bars that looked and tasted the same. Each subject ate both chocolate and carob bars in random order with at least three days between. Each woman then reported whether or not she had a headache within 12hours of eating the bar. Here is a two-way table of the results for the 64subjects:

The researchers carried out a chi-square test on this table to see if the two types of bar differ in triggering headaches. Explain why this test is incorrect.

Short Answer

Expert verified

The two types of bars differ in triggering headaches because independent requirement not met.

Step by step solution

01

Given information

The given data is

02

Explanation

Because each row contains data about the same subjects, the rows are not independent.

We can't use the chi-square test because the Independent criterion isn't met.

Independent requirement not met.

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Most popular questions from this chapter

Perform a follow-up analysis of the test in Exercise 40 by finding the individual components of the chi-square statistic. Which cell(s) contributed most to the final result?

How is the hatching of water python eggs influenced by the temperature of the snake’s nest? Researchers randomly assigned newly laid eggs to one of three water temperatures: hot, neutral, or cold. Hot duplicates the extra warmth provided by the mother python, and cold duplicates the absence of the mother. Here are the data on the number of eggs and the number that hatched

(a) Make a two-way table of temperature by outcome (hatched or not). Calculate the proportion of eggs in each group that hatched. The researchers believed that eggs would not hatch in cold water. Do the data support that belief?

(b) Are the differences between the three groups statistically significant? Give appropriate evidence to support your answer

Calculate the chi-square statistic. Show your work.

Sorry, no chi-square (11.1) Explain why it would not be appropriate to perform a chi-square goodness-of-fit test in this setting.

Yahtzee (5.3,6.3)In the game of Yahtzee, 5six-sided dice are rolled simultaneously. To get a Yahtzee, the player must get the same number on all 5dice.

(a) Luis says that the probability of getting a Yahtzee in one roll of the dice is 165. Explain why Luis is wrong.

(b) Nassir decides to keep rolling all 5 dice until he gets a Yahtzee. He is surprised when he still hasn’t gotten a Yahtzee after25rolls. Should he be? Calculate an appropriate probability to support your answer .
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