M. Stuart et al. studied various aspects of grade-school children and their mothers and reported their findings in the article "Learning to Read at Home and at School" (British Journal of Educational Psychology, 68(1), pp. 3-14). The researchers gave a questionnaire to parents of 66 children in kindergarten through second grade. Two socialclass groups, middle and working, were identified based on the mother's occupation.
a. One of the questions dealt with the children's knowledge of nursery rhymes. The following data were obtained.

Are Assumptions 1 and 2 satisfied for a chi-square independence test? If so, conduct the test and interpret your results.
Use α = 0.01.
b. Another question dealt with whether the parents played "I Spy" games with their children. The following data were obtained.

Are Assumptions 1 and 2 satisfied for a chi-square independence test? If so, conduct the test and interpret your results. Use α = 0.01.

Transcribed Image Text:

Nursery-rhyme knowledge A few Some Lots 15 18 Middle 13 Working Frequency of games Never Sometimes Often Middle 13 3Working11 10