Question

1. A researcher intends to use a Chi² test for Goodness of Fit to determine whether there is any preference between 10 brands of cookies. What is the critical Chi² value for a sample of n = 300 participants and p < .01?

• A. 20.48

• B. 11.07

• C. 16.92

• D. 18.31

• E. 21.67

2. A researcher conducted a study on a sample of n = 80 undergraduates to evaluate preferences among students for four different textbooks for the Introduction to Statistics course. The data evaluated by Chi² Goodness of Fit test produced Chi² = 7.58. What is the correct statistical decision about null hypothesis for this outcome? Use p < .05.

• A. Fail to reject the null hypothesis, there is no significant difference in textbook preferences.

• B. Reject the null hypothesis, there is no significant difference in textbook preferences.

• C. Reject the null hypothesis, there is a significant difference in textbook preferences.

• D. Fail to reject the null hypothesis, there is a significant difference in textbook preferences.

3. A large value of the computed Chi² for Goodness of Fit test indicates that ______________.

• A. the distribution of frequencies in the sample is consistent with the distribution of frequencies in the population predicted by the null hypothesis.

• B. the sample size was large.

• C. the distribution of frequencies in the sample differs from the distribution of frequencies in the population predicted by the null hypothesis.

• D. the expected frequency in each category are larger than 5

4. If Chi² for Goodness of Fit produces a Chi² statistic near zero that means ______________.

• A. the sample data differ from the frequencies predicted by the null hypothesis.

• B. all expected frequencies are close to zero.

• C. the observed frequencies are consistently lower than the expected frequencies.

• D. there is a good fit between the sample data and the frequencies predicted by the null hypothesis.

• E. the observed frequencies are consistently higher than the expected frequencies.

5. The null hypothesis of Chi² test for Independence states that ___________.

• A. there is a significant relationship between the two variables evaluated by the test.

• B. there is a significant mean difference between the two variables evaluated by the test.

• C. there is no significant mean difference between the two variables evaluated by the test.

• D. there is no significant relationship between the two variables evaluated by the test.

Answer 1

0 There are so beards :.dt= lot i=9 phool &d=vol Krastical = 2.2 = 21.67 & chisquare table 12 E: 26.67 There are 4 diffecent textbooks idt = 4-1-3 PLO.05 ) a=0.85 Xceiticeal - X - 7.81 & chisquare table birer Krems = 7.58 he know is For X, airiced as reject to Here X X con L Fail to craitical reject Ho Of no difbegona A Fail to reject signiticant the hull hypothesis, there is a no difference in textbook proberences. For large values of & xe computed we reject to À The distribution of brequencies in the sample ditteces brom the distribution of trequencies in the population predicted by the wall hypothesis. x statistic near zees that mears expecsed & actual are I close there is good bit between the sorople data and the beequencies predicted by the hell hypothesis. ①

6 Null hypottersis is of no difbeence . The hall typothesis of x² test for independence States that There is no significant relationship between the two variables evaluated by the test.

1. E. 21.67

2. A

3. C

4. D

5. D