Question

A soft treat manufacture is conducting a blind taste test to compare its best selling product X with two leading competition Y and Z each subject taste all three and select the one that taste best to him or her.
a) If 54 subjects prefer product X, 30 prefer product Y and 48 prefer products Z can you reject the null hypothesis at the point 05 level.

c) what general rule is being illustrated here?

Answer 1

(a) The hypothesis being tested is:

H₀: There is no preferred brand

H_a: There is a difference in brands

observed	expected	O - E	(O - E)² / E
54	44.000	10.000	2.273
30	44.000	-14.000	4.455
48	44.000	4.000	0.364
132	132.000	0.000	7.091
7.09	chi-square
2	df
.0289	p-value

Since the p-value (0.0289) is less than the significance level (0.05), we can reject the null hypothesis.

(c) The general rule being illustrated here is there is a difference in brand preference.