A software developer is interested in finding what the best

A software developer is interested in finding what the best color theme should be for an engine diagnostic program for the flight line. He is considering three different color themes (red, green, or blue). To determine which is preferred by his users he invited 60 participants to view the three different designs (colors). He then asked them which one they liked best. The table below presents the number of times each design was chosen by the participants.

Red

Green

Blue

14

18

28

(a) Use appropriate words and statistics to describe the statistical results. Based on this data which design should he use?

Here is what I have so far - Chi-Square test:

so to properly notate the answer: X²(2, N = 60) = 5.2, p = .074 is this correct?

I am assuming that the design chosen is red because it has the highest percentage chosen at 58.33%? I guess i dont understand what the question is asking.

Thanks

Solution

Null hypothesis. H₀: the three colors are equally liked

Alternative hypothesis : H_A: the three colors are not equally liked

Goodness of Fit Test

observed

expected

O - E

(O - E)