# Use the following for questions 8 9 are all employees

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Use the following for questions 8 – 9:Are all employees equally prone to having accidents? To investigate this hypothesis, a researcherlooked at a light manufacturing plant and classified a random sample of accidents by type and byage of the employee.Under 25Age25 or over
8.Here are the expected counts for this table under the null hypothesis that tests thequestion stated above:Under 25Age25 or overWhat is the individual component of the chi-square statistic for the cell ―Under 25/Burn?
© 2011 BFW PublishersThe Practice of Statistics, 4/e- Chapter 11529
9.A chi-square test for the above data gave a test statistic of 20.78. If we test at = 0.05 whichof the following is an appropriate conclusion?
10.A survey was conducted to investigate whether alcohol consumption and smokingare related. In an SRS of 300 smokers, 196 said they had consumed alcohol at least once inthe past week. In an independent SRS of 300 non-smokers, 159 said they had consumedalcohol in the past week. Ifpsis the proportion of smokers in the population who have had adrink in the past week andpnsis the corresponding proportion of non-smokers, then a test ofthehypothesesH0:pspns0 against the two-sided alternative produces a test statistic of3.07 and aP-value of 0.002. If we had instead analyzed these results with a chi-square testof homogeneity, which of the following would be the test statistic andP-value?z=
530The Practice of Statistics, 4/e- Chapter 11© 2011 BFW Publishers
Part 2: Free ResponseShow all your work. Indicate clearly the methods you use, because you will be graded on thecorrectness of your methods as well as on the accuracy and completeness of your results andexplanations.11.Are you more likely to be allergic to house dust mites if you are born in a certainseason? Recent research suggests this might be true. Below are the birth seasons of 500randomly selected people who are allergic to house dust mites, along with the expectedproportion of people born in each season, based on data from the entire population. Dothese data provide evidence that people who suffer from this allergy have a different birthseason distribution? Support your conclusion with the appropriate statistical test.

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