Question

The college is planning to add a food vender in the student union and would like
to know what type of food service the students would prefer. A sample of 120
students is obtained and each student is asked to select his/her preference from
a coffee shop, a pizza place, or a hamburger grill. The resulting frequency data
are as follows:
Coffee Pizza Hamburger

53 37 30
a. Do the data indicate any significant preferences among the three types of
food service? Test at the .05 level of significance.
b. A similar survey of the student population ten years ago found that a
coffee shop was preferred by 20% of the students and pizza and
hamburger were each preferred by 40% of the students. Do the data
indicate a significant change in preferences during the past ten years.
State the hypotheses and find the expected frequencies for the chi-square
test.

Answer 1