99 steak lovers selected randomly tasted a steak from Place

99 steak lovers selected randomly tasted a steak from Place 1, Place 2 and Place 3.The steaks were placed on a plate with no sauce and the steak lovers had no idea which steak they tasted.   35 chose Place 1 as the best tasting. 40 chose Place 2 and 24 chose Place 3. Use chi square and test at the .05 level.

Solution

Total no of persons = 99

Set up hypotheses as

H0: All 3 steaks are equally likely

Ha: atleast two are not equally likely

Two tailed chi square test at 0.05 level

Prepare chi square table as follows:

p value =0.131296.

The result is not significant at p < 0.05.

Since p >alpha, accept null hypothesis.