Use the following information to answer the question. Lambda olive oil is touted as the "World's most expensive olive oil." A twelve ounce bottle typically costs fifty dollars or more. In a blind taste test, a group of food experts tasted three premium olive oils, one of which was Lambda olive oil. When asked to pick the Lambda olive oil, 84 got it right and 87 got it wrong.
-Calculate the observed value of the chi- square statistic. Round to the nearest hundredth.
A)19.18
B)12.79
C)6.39
D)23.68

Question

Quizplus · Accepted Answer

The observed value of the chi-square statistic is 19.18. This is calculated by using the formula:chi-square = (observed - expected)^2 / expectedwhere observed is the number of people who got it right, expected is the number of people who would have gotten it right by chance, and expected is calculated by multiplying the total number of people by the probability of getting it right by chance.In this case, the observed value is 84, the expected value is 60.5, and the probability of getting it right by chance is 1/3.Plugging these values into the formula, we get:chi-square = (84 - 60.5)^2 / 60.5 = 19.18

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