Question

For each problem, select the best response.

(a) Chi-square tests are most appropriate for data that

A. have small standard deviations.
B. are normally distributed.
C. have rounding errors.
D. can be averaged.
E. are categorical.

(b) A ?2 statistic provides persuasive evidence against the null hypothesis if its value is

A. a large negative number.
B. close to 0.
C. close to 1.
D. a large positive number.
E. 1.96

(c) A study was performed to examine the personal goals of children in grades 4, 5 and 6. A random sample of students was selected from grades 4, 5 and 6 from schools in Idaho. The students received a questionnaire regarding achieving personal goals. They were asked what they would most like to do at school: make good grades, be good at sports, or be popular. Each student's gender was also recorded. Which hypotheses are being tested by the chi-square test?

A. The null hypothesis is that there is no relationship between personal goals and gender, and the alternative is that there is some relationship.
B. The null hypothesis is that there is no relationship between personal goals and gender, and the alternative is that there is a positive relationship.
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 gender is different for the three personal goals.
E. None of the above.

Answer 1

a )  Chi-square tests are most appropriate for data that

E. are categorical.

b ) A $\chi^2$ statistic provides persuasive evidence against the null hypothesis if its value is

D. a large positive number.

c )   A. The null hypothesis is that there is no relationship between personal goals and gender, and the alternative is that there is some relationship.