"Nutrition Facts" labels are required for most foods sold in the United States. In June 2014, the Food and Drug Administration (FDA) proposed key changes to the labels, to feature clearer information about calories, fat, and sugar. The idea of the changes in the nutrition facts label is to help people make healthier choices when they buy food in stores. To find out whether mothers and fathers use nutrition labels differently, a random sample of 770 mothers and a random sample of 711 fathers were polled. Below are the results to the question: "When you buy food and drinks at a store, how often would you say that you read the labels that include nutrition information?"
a. The researcher set out to assess if the distribution of Nutrition Facts Usage is the same for the two populations of all mothers versus all fathers. What is the appropriate chi-square test to perform? Select one.
i. Goodness of Fit
ii. Test of Homogeneity
iii. Test of Independence
b. Consider this statement based on the table of results: The results show that overall about 13% of the surveyed parents never read the nutrition labels; however focusing on just the mothers, the percent that never read the nutrition labels was ______%. Which of the follow values correctly completes this statement? Select one.
i. 5.2
ii. 10
iii. 40.5
iv. 77
c. If the distribution of Nutrition Facts Usage is the same for the two populations of all mothers versus all fathers, how many mothers would you have expected to never read nutrition labels.
i. 0
ii. 2
iii. 77
iv. 98
v. 98.8
vi. 99
d. The data were entered into SPSS and the chi-square test output is provided. The test statistic value of 12.387 was computed as a sum of contributions, one contribution from each of the 6 cells in the data table above. Which of the following is the contribution to this test statistic value that came from the mothers who never read nutrition labels?
i. 0.05
ii. 4.81
iii. 6.71
iv. -21.8
v. 475.24
e. Select the correct word(s) to complete this conclusion: At a 5% significance level, it appears that of Nutrition Facts Usage... is is not ... the same for the two populations of all mothers versus all fathers.
i. is
ii. is not