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Chapter 11: Q.1.3 (page 681)
Calculate the chi-square statistic for Joey鈥檚 sample. Show your work
The expected counts are and respectively.
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32. How are schools doing? Refer to Exercises 28 and 30 .
(a) Check that the conditions for performing the chi-square test are met.
(b) Use Table to find the -value. Then use your calculator's command.
(c) Interpret the -value from the calculator in context.
(d) What conclusion would you draw? Justify your answer.
Removing warts A recently reported study looked at the use of oral zinc supplements to get rid of warts. The treatment group took an oral zinc supplement. Of these people, were rid of their warts after one month, and additional patients were rid of them after two months. The subjects in a control group were given a placebo. Of these, was rid of his warts after one month and additional patients were rid of their warts after two months. The reported results of the study included this table.
(a) The researchers say they did a chi-square test on this table. Explain why that makes no sense. Then make a correct two-way table displaying the results of the experiment.
(b) Explain why it is not appropriate to use a chi-square test in this setting even with the correct two-way table.
Inference recap In each of the following settings, say which inference procedure from Chapters you would use. Be specific. For example, you might say 鈥渢wo-sample z test for the difference between two proportions.鈥� You do not need to carry out any procedures.
(a) Is there a relationship between attendance at religious services and alcohol consumption? A random sample of adults was asked whether they regularly attend religious services and whether they drink alcohol daily.
(b) Separate random samples of college students and high school students were asked how much time, on average, they spend watching television each week. We want to estimate the difference in the average amount of TV watched by high school and college students.
Skittles Statistics teacher Jason Molesky contacted Mars, Inc., to ask about the color distribution for Skittles candies. Here is an excerpt from the response he received: 鈥淭he original flavor blend for the SKITTLES BITE SIZE CANDIES is lemon, lime, orange, strawberry, and grape. They were chosen as a result of consumer preference tests we conducted. The flavor blend is 20 percent of each flavor.鈥�
(a) State appropriate hypotheses for a significance test of the company鈥檚 claim.
(b) Find the expected counts for a bag of Skittles with 60 candies.
(c) How large a C2 statistic would you need to get in order to have significant evidence against the company鈥檚 claim at the A 0.05 level? At the A 0.01 level?
(d) Create a set of observed counts for a bag with 60 candies that gives a P-value between 0.01 and 0.05. Show the calculation of your chi-square statistic.
The appropriate degrees of freedom for the statistic is
(a) 1 .
(b) 2 .
(c) 3 .
(d) 4 .
(e) 5 .
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