In a study reported in a prestigious journal, 57 college-educated volunteers were given five foods to taste: two
expensive liver pates, liverwurst, Spam, and dog food. All were blended to the same consistency, garnished with
parsley, and chilled. The people were asked to rate the foods and to identify the dog food, which is given in the table
below. Assume all foods are equally likely to be chosen.
Food Selected as Dog Food
Duck liver mousse 3
Spam 12
Dog food 9
Pork liver pate 9
Liverwurst 24
What is the test statistic for determining if the individuals are selecting at random?
Select the appropriate bounds on the $P$-value.
A. $P$-value $> .25$
B. $.20 < P$-value $< .25$
C. $.15 < P$-value $< .20$
D. $.10 < P$-value $< .15$
E. $.05 < P$-value $< .10$
F. $.025 < P$-value $< .05$
G. $.02 < P$-value $< .025$
H. $.01 < P$-value $< .02$
I. $.005 < P$-value $< .01$
J. $.0025 < P$-value $< .005$
K. $.001 < P$-value $< .0025$
L. $P$-value $< .001$