A study examines the personal goals of children in grades 4, 5,
and 6. A random sample of students was selected for each of the
grades 4, 5, and 6 from schools in Georgia. The students received a
questionnaire regarding achievement of personal goals. They were
asked what they would most like to do at school: make good grades,
be good at sports, or be popular. Results are presented in the
following table by the sex of the child.
Boys
Girls
Make good grades
192
590
Be popular
64
90
Be good in sports
188
80
Which hypotheses are being tested by the chi-square test?
A.The distribution of personal goals is different for boys and
girls.
B. The null hypothesis is that personal goals and sex are
independent, and the alternative is that they are dependent.
C. The null hypothesis is that the mean personal goal is the
same for boys and girls, and the alternative is that the means
differ.
D. The distribution of sex is different for the three different
personal goals.