Each of 136 individuals of a certain mammal species was placed in an enclosure containing equal amounts of each of six different foods. The frequency with which the animals chose each of the foods was:

Food item. Frequency

1 29 2 15 3 16

4 32

5 14

6 30

(a) Test to see if individuals of this species prefer all food types equally. (b) If the original hypothesis is rejected, consider how you might usefully partition the data to ascertain what is driving the difference among the 6 types. Perform the required chi squared test analyses on MINITAB.