For each problem, select the best response. (a) For a Chi-square tests of indepe
ID: 3290066 • Letter: F
Question
For each problem, select the best response. (a) For a Chi-square tests of independence the alternative hypothesis states that the two variables are... A. categorical B. quantitative C. associated. D. not associated. (b) The more the expected frequencies differ from the observed frequencies, the ... A. more likely we will commit a Type I error B. more likely we will fail to reject the null hypothesis C. more likely we will commit a Type II error D. more likely we will reject the null hypothesis (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 set of hypotheses is most appropriate for this test? A. The null hypothesis is that the mean personal goal is the same for 4th, 5th and 6th grade students and the alternative is that the means differ. 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 there is no relationship between personal goals and grade level, and the alternative is that there is a positive relationship. D. The null hypohtesis is that the distribution of gender is different for the three personal goals and the alternative is that the distributions are the same. E. None of the above.Explanation / Answer
a)For a Chi-square test of independence, the alternative hypothesis states that the two variables are associated (C).
Null hypothesis here states that the two variables are not associated, i.e, independent.
b) The more the expected frequencies differ from the observed frequencies, the more likely we will fail to reject the null hypothesis (B) since in that situation, the chi-square test statistic will increase which will make us accept the null hypothesis.
c) None of the above (E), since we need to look at the relationship among personal goals, gender and grades, because a personal goal of a persona varies between male and a female and of different grades.
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