Children’s perceptions of their neighborhood. In Health Education Research (Feb. 2005), nutrition scientists at Deakin University (Australia) investigated children’s perceptions of their environments. Each in a sample of 147 ten-year-old children drew maps of their home and neighborhood environment. The researchers examined the maps for certain themes (e.g., presence of a pet, television in the bedroom, opportunities for physical activity). The results, broken down by gender, for two themes (presence of a dog and TV in the bedroom) are shown in the next two tables.

a. Find the sample proportion of boys who drew a dog on their maps.

b. Find the sample proportion of girls who drew a dog on their maps.

c. Compare the proportions you found in parts a and b.

Does it appear that the likelihood of drawing a dog on the neighborhood map depends on gender?

d. Give the null hypothesis for testing whether the likelihood of a drawing a dog on the neighborhood map depends on gender.

e. Use the MINITAB printout below to conduct the test mentioned in part d at a = .05.

f. Conduct a test to determine whether the likelihood of drawing a TV in the bedroom is different for boys and girls. Use a = .05.

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Presence of a Dog Number of Boys Number of Girls 11 Yes No Total 6 71 77 77 59 70 70