Question

Review the following output from a chi-square test, and answer the questions below. Chi-Square Test Frequencies:Preference

	Observed N	Expected N	Residual
Nuts & Grits	9	20.0	-11.0
Bacon Surprise	27	20.0	7.0
Dimples	16	20.0	-4.0
Froggy	17	20.0	-3.0
Chocolate Delight	31	20.0	11.0
Total	100

Test Statistics

	Preference
Chi-Square	15.800a
df	4
Asymp. Sig.	.003

^a 0 cells (0.0%) have expected frequencies less than 5. The minimum expected cell frequency is 20.0. Answer the following questions about this chi-square output in one to two sentences each: How many categories are listed for analysis?

Answer 1

We have five categories in this above table i.e. Bacon surprise, Dimple, Froggy and Chocolate delight.

For the above analysis out, statistician perform Independent chi-square test to check the the categories are differ to eachother or not.

For this test our hypothesis are

H0: The categoties are not independent to eachoter

Ha: The categories are independent to eachother

After performing the independent chi square test we found thw sig. Value 0.003 which is less than the level of significance 0.05.

Therefore we conclude that the categories are differ to each other