Q1) College is planning to add food vendor in student union and would like to know what kind of food service students would prefer. Sample of 120 students is got and each student is asked to choose his/her preference from coffee shop, a pizza place, or a hamburger grill. Resulting frequency data are shown in the table below.
|
Coffee
|
Pizza
|
Hamburger
|
|
53
|
37
|
30
|
a) Do data point to any significant preferences among three kinds of food service? Test at the .05 level of significance.
i) Yes, there are significant preferences
ii) no; there are no significant preferences
b) Similar survey of student population 10 years ago found that coffee shop was favoured by 20% of students, and pizza and hamburger were each preferred by 40% of the students. Determine the expected frequencies for chi-square test.
Coffee --------
Pizza --------
Hamburger---------
Do data indicate a significant change in preferences in the past 10 years?
i) Yes, there has been = significant change in preferences
ii) no, there hasn't been any change in the population proportions