Question

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.

Answer 1

Correct option:

B. The null hypothesis is that personal goals and sex are independent, and the alternative is that they are dependent.

H0: Null Hypothesis: Personal goals and sex are independent

HA: Alternative Hypothesis: Personal goals and sex are dependent

In Chi Square Test of Independence, the null hypothesis is: the 2 variables: Personal goals and sex are independent. the Alternative hypothesis is: the 2 variables: Personal goals and sex are dependent.