Evaluate the main effects and the interaction

1. The local county is considering a budget proposal that would reallocate funding to renovate the city pools. A survey is conducted to measure public opinion of the proposal. A total of 200 individuals responded to the survey. Fifty of the respondents were from the city and 150 were from the surrounding suburbs.

Location

Proposal

City

Suburb

Total

Favor

39

79

118

Oppose

11

71

82

Total

50

150

200

Is there a relationship between the opinion and the location of the resident at a level of significance of 0.05?

2. A researcher wishes to conduct a study on the self-esteem levels of adolescents. She believes that male adolescents have higher self-esteem than female adolescents. Self-esteem test were administered to 50 randomly selected male and 50 female adolescents.

Males

1

3

6

5

1

10

8

10

1

9

8

10

5

10

10

2

6

7

7

2

7

8

5

7

6

7

2

3

8

4

10

9

10

2

2

6

2

9

8

9

1

4

4

5

10

6

7

2

10

9

6

9

9

4

2

Females

1

2

2

1

6

4

1

7

6

3

4

3

2

4

5

9

5

2

7

6

5

7

9

4

9

1

4

3

7

8

4

2

6

5

2

4

2

6

4

3

6

9

1

9

3

5

4

9

8

2

8

8

9

7

5

Do the results indicate that self-esteem is significantly higher on average for males at significance level of 0.01?

3. A social researcher believes the color red causes men’s attraction to women to increase as well as women’s attraction to men. The color does not appear to have an effect on same sex attractions. A study was conducted in which photographs of male and female subjects in red and white were shown to participants. They were asked to rate attractiveness of each photograph.

Female

Male

White

5

3

6

5

5

4

3

3

4

6

5

6

3

4

5

6

6

6

3

4

Red

7

7

7

8

5

4

5

6

9

9

10

6

8

9

10

10

4

5

6

6

Use the above information from the study to evaluate the main effects and the interaction at a level of significance of 0.05. Describe the effects of color on the judgments of males and females.(Adapted from Statistics for the Behavioral Sciences by Frederick J Gravetter and Larry B. Wallnau (9th edition), 2013, Wadsworth Cengage Learning)

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