Problem

Children’s perceptions of their neighborhood. In Health Education Research (Feb. 2005), nu...

Children’s perceptions of their neighborhood. In Health Education Research (Feb. 2005), nutrition scientists atDeakin University (Australia) investigated children’s perceptionsof their environments. Each in a sample of147 ten-year-old children drew maps of their home andneighborhood environment. The researchers examined themaps 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 tables below and saved in the MAPDOG and MAPTV files, respectively .

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 α = .05.


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

Presence of a Dog

Number of Boys

Number of Girls

Yes

6

11

No

71

59

Total

77

70

Presence of TV

in Bedroom

Number of Boys

Number of Girls

Yes

11

9

No

66

61

Total

77

70

Based on Hume, C., Salmon, J., and Ball, K. “Children’s perceptions of their home and neighborhood environments, and their association with objectively measured physical activity: A qualitative and quantitative study,” HealthEducation Research , Vol. 20, No. 1, February 2005.

MINITAB output

Results of Voter Preference Survey

Candidate

1

2

3

61 votes

53 votes

36 votes

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