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Statistics Problem.. Having trouble! Please give correct answer! Food scientists

ID: 3150966 • Letter: S

Question

Statistics Problem.. Having trouble! Please give correct answer!

Food scientists in an R and D facility had three different recipes for a ready mix frozen casserole that their company sold in grocery stores. They wanted to determine if the general public would have any preferences among these three recipes. To test the null hypothesis that the public had no preferences, they invited 24 panelists selected at random to participate in a taste test. Unable to view each other, the panelists were given samples of each recipe and asked to select the one they liked the best. They had to select only one. The following contingency table contains the results of their choices. Which of the following choices is closest to the calculated goodness-of-fit test statistic that tests the null hypothesis that the panelists selected the three recipes in equal number against the alternative hypothesis that the panelists as a group preferred one or two of the recipes. 0.95 5.67 -2-1 2.25 3.5

Explanation / Answer

Calculated Chi-square goodness of fit = 2.25

Recipe Of Ef Of-Ef (Of-Ef)^2 (Of-Ef)^2/Ef A 5 8 -3 9 1.125 B 11 8 3 9 1.125 C 8 8 0 0 0
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