The owner of a bakery wants to know whether customers have any preference among 5 different flavors of muffin. A sample of 200 customers provided the data below. The table below shows how many people were tested at each location and their stated preferences Flavor Orange Blueberry Chocolate Vanilla Vanilla and Raisins # of customers 30 52 38 36 44 Calculate the chi-squared test statistic X 2.

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Mathematics

Hana Lyons

13 September, 22:23

The owner of a bakery wants to know whether customers have any preference among 5 different flavors of muffin. A sample of 200 customers provided the data below. The table below shows how many people were tested at each location and their stated preferences Flavor Orange Blueberry Chocolate Vanilla Vanilla and Raisins # of customers 30 52 38 36 44 Calculate the chi-squared test statistic X 2.

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Fletcher Calhoun · Answer 1

Every flavor gets 180/5=36 flavors. x^2=∑ (xi) ^2/mi - n. In this case, mi is the proportion of the hypothesis, thus 36, n=180 and xi is the number of actual observations. Substituting the known quantities, we get that x^2=9. The degree of association is given by √X^2 / √N (n-1). This yields around 0.10, much higher than our limit.