In performing a chi-square test for independence between these two variables, what is the expected
number of green-eyed females?
(A) 12
(B) 15
(C) 16
(D) 18.75
(E) 20- The difference between a chi-square test for independence and a chi-square test for homogeneity is
(A) how the data are collected.
(B) the way the number of degrees of freedom is calculated.
(C) how the P -value is related to the chi-square test statistic.
(D) the way expected frequencies are calculated.
(E) whether the test is one-sided or two-sided.
Researchers at an urban high school surveyed 150 randomly selected students, asking their grade
level and their opinion on the selected theme for the homecoming dance. The results of the survey are
displayed in the table.
The researchers conducted a chi-square test of independence, with a 5% level of significance, to
determine whether there is an association between grade level and opinion on the theme for all
students in the school. They got a test statistic of 2.93. Which of the following is the correct
conclusion and reason?
(A) They should conclude that there is insufficient evidence of an association between grade level
and opinion on the theme because the test statistic is greater than 0.05.
(B) They should conclude that there is evidence of an association between grade level and opinion
on the theme because the table shows that as grade level increases, the proportion of students
who approve tends to increase.
(C) They should conclude that there is evidence of an association between grade level and opinion
on the theme because the test statistic is higher than the critical value for 3 degrees of freedom.