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. Use a = 0.01.
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-square test statistic X 2.
Test the claim that the probabilities show no preference.

Question

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. Use a = 0.01.
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-square test statistic X 2.
Test the claim that the probabilities show no preference.

Vocaloid · Answer

apply the chi square formula to each flavor to determine the chi-square test statistic.

|dw:1582062263498:dw|

where Oi is the observed value (the value of the table) and Ei is the expected value. For Ei, assume that all flavors are equally preferred (so the Ei should be (total # of people sampled)/(total # of flavors))

then find the corresponding p-value to test the significance of the results