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Lemon Corporation, a large automobile manufacturer, is trying to determine the source of defects in some of its autos. An analyst for Lemon believes that

Lemon Corporation, a large automobile manufacturer, is trying to determine the source of defects in some of its autos. An analyst for Lemon believes that a possible source of defects is the day of the week the auto is produced. Rumor has it that on Mondays large numbers of Lemon auto workers are hung over from a weekend of drunkenness and debauchery and are, therefore, more likely to make mistakes on the job. She hypothesizes that autos manufactured on Mondays are more likely to have defects than are cars made on the other days of the week. In order to test this hypothesis, she draws a random sample of 200 automobiles made by Lemon in the last two years. In this sample, she crosstabulates the day the auto was made (Monday versus all other days) with the variable of whether or not the car has any known defect. The cross-tabulation appears below. Based on these data, is there support for her hypothesis?

Day Car Made

Defect Monday Other Days

No 12 72

Yes 32 84

[Hint: To answer this question, you will need to first form a separate contingency table with percentages. Analyze/interpret the percentage table to reach an appropriate conclusion. When interpreting contingency table, be sure to follow the rules discussed in the lecture slides and the text.] Show all work in excel if (if needed) including the contingency table with percentages and any formulas that may be used.

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