A survey of 175 people of different ages was conducted. Participants were asked which type of "burger they preferred to eat. A summary of the results is given in the table below.
Chicken
Beef
Vegetarian
Totals
14
21
45
11 - 18 years old 10
8
19 - 30 years old 18
34
60
31 - 50 years old 12
12
16
40
51+ years old
14
8
8
30
Totals
54
42
79
175
Using a chi-square test, at the 5% significance level, answer the following questions to
determine whether burger type is independent of age.
a. State the null and alternative hypotheses.
b. Find the expected number of participants that are in the 31-50 age group that
prefer vegetarian "burgers."
C. Calculate the degrees of freedom.
d. Find the chi-square value.