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Vending machines on a college campus offer a variety of snacks. The purchasing agent believes that each type of snack is preferred in equal proportions
Vending machines on a college campus offer a variety of snacks. The purchasing agent believes that each type of snack is preferred in equal proportions by students and consequently orders equal quantities. The number of snacks sold from vending machines on this campus for the last six months is shown in the following table. Snack types Chips Candy bars Crackers Nuts Calculate the value of the test statistic. Purchase frequency (of) 159 198 174 149 A. 5.433 The purchasing agent will use this information to perform a goodness-of-fit test at a 5% significance level. B. 6.757 State the most appropriate hypotheses for the above test. C. 7.695 A. Ho: All types of snacks are equally preferred among the students. D. 8.012 HA: Not all types of snacks are equally preferred among the students. B. Ho: Not all types of snacks are equally preferred among the students. HA: All types of snacks are equally preferred among the students. C. Ho: The proportion of candy bars preferred by the students is greater than other HA: The proportion of candy bars preferred by the students is lesser than other types of snacks D. Ho: The proportion of candy bars preferred by the students is lesser than other types of snacks. HA: The proportion of candy bars preferred by the students is greater than other types of snacks. 2 What is the observed proportion for candy bars? At 5% significance level, the decision is to_ A. 0.23 B. 0.25 A. reject Ho; it can be concluded that all types of snacks are equally preferred among the students C. 0.26 B. reject Ho; it can be concluded that not all types of snacks are equally preferred among the students D. 0.29 C. do not reject Ho; it cannot be concluded that the proportion of candy bars preferred by the students is lesser than other types of snacks D. do not reject Ho; it cannot be concluded that the proportion of candy bars preferred by the students is greater than other types of snacks 3 What is the expected frequency for crackers? A. 160 B. 170 C. 180 D. 180
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