Question

As a Consumer Reports magazine researcher, you are interested in whether Americans have a preference for a particular type of potato chip. You select the following brands of potato chips: Ruffles, Lays, and Pringles. You randomly select n = 84 individuals to sample each brand chip and then ask them to indicate their preference.

Below is the data from the study:

Ruffles	Lays	Pringles
ƒo = 35	ƒo = 32	ƒo = 17

1. Compute df and determine the critical value for χ² for a hypothesis test with α = 0.01.

df =
Critical value of χ² =

2. Determine the expected frequencies (ƒ_e) assuming no preference (in other words, no difference in the proportions between the three brands):

Ruffles	Lays	Pringles
ƒe =	ƒe =	ƒe =

3. Calculate the chi-square statistic (χ²): (Use 3 decimals)

χ² =

4. What decision should be made?

Retain the null.

Reject the null.    

Answer 1