Question

(2 points) For each problem, select the best response. (a) 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 distribution of gender is different for the three personal goals. B. The null hypothesis is that there is no relationship between personal goals and gender, and the alternative is that there is some 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 null hypothesis is that there is no relationship between personal goals and gender, and the alternative is that there is a positive relationship. E. None of the above. (b) A2 statistic provides persuasive evidence against the null hypothesis if its value is A. a large positive number. B. 1.96 C. close to 0. D. a large negative number. E. close to 1 (c) Chi-square tests are most appropriate for data that A. are normally distributed. B. are categorical C. have small standard deviations D. have rounding errors. OE. can be averaged.

Answer 1

Answer (a) Option B :

The null hypothesis is that there is no relationship between personal goals and gender, and the alternative is that there is some relationship. (Only this option is true and all the other statements are false)

Answer (b) Option A

A large positive number (Because in Chi square test large positive values indicate that Alternate hypothesis are true)

Answer (c) Option B

Are categorical

For any doubt or clarification do the comment.