Among many other issues, Juddi Trent is interested in whether or not there are d

Question

Among many other issues, Juddi Trent is interested in whether or not there are differences across political parties (i.e., Republicans, Independents, and Democrats) in respondents’ perceptions of the ideal presidential candidate. On the following page, there is an output concerning party differences on three of these characteristics or issues: (1) It is important that the candidate is compassionate about the needs of people; (2) It is important that the country elect a woman as president or vice president; and (3) It is important that the candidate talk about his/her personal religious beliefs.

The following table describes her hypotheses.

Item

Hypothesis

It is important that the candidate is compassionate about the needs of people [CompassR]

Democrat > Independent > Republican

It is important that the country elect a woman as president or vice president [WomanR]

Democrat > Independent > Republican

It is important that the candidate talk about his/her personal religious beliefs [ReligionR]

Republican > Independent > Democrat

Results relevant to these three items are reproduced on the next page. For each characteristic or issue, answer the following questions (i.e., provide three answers to each question). Assume an of .05

a. In each case, members of which party found each characteristic most important? In other words, which group had the largest mean? (3 pts)

Compass:

Woman:

Religion:

            b. For each f-test, how many degrees of freedom does Juddi have? (3 pts)

Compass:

Woman:

Religion:

For each f-test, is the amount of variation in means across parties statistically significant? How do you know? (3 pts)

Compass:

Woman:

Religion:

            d. In each case, what do should Juddi conclude about the null hypothesis? (3 pts)

Compass:

Woman:

Religion:

            e. For each test, compute 2. Is each result small, medium, or large? (3 pts)

Compass:

Woman:

Religion:

f. Are the results consistent with her hypotheses? (3 pts)

Compass:

Woman:

Religion:

Oneway

Descriptives

N

Mean

Std. Deviation

Std. Error

95% Confidence Interval for Mean

Minimum

Maximum

Lower Bound

Upper Bound

CompassR

Republican

111

4.32

.751

.071

4.17

4.46

2

5

Democrat

55

4.82

.389

.052

4.71

4.92

4

5

Independent

70

4.53

.717

.086

4.36

4.70

1

5

Total

236

4.50

.700

.046

4.41

4.59

1

5

WomanR

Republican

111

2.94

1.138

.108

2.72

3.15

1

5

Democrat

55

3.24

.981

.132

2.97

3.50

1

5

Independent

71

2.75

1.227

.146

2.46

3.04

1

5

Total

237

2.95

1.141

.074

2.80

3.10

1

5

ReligionR

Republican

111

2.94

1.260

.120

2.70

3.17

1

5

Democrat

55

1.75

1.040

.140

1.46

2.03

1

5

Independent

71

2.13

1.108

.131

1.86

2.39

1

5

Total

237

2.42

1.268

.082

2.26

2.58

1

5

ANOVA

Sum of Squares

df

Mean Square

F

Sig.

CompassR

Between Groups

9.407

2

4.704

10.379

.000

Within Groups

105.589

233

.453

Total

114.996

235

WomanR

Between Groups

7.470

2

3.735

2.914

.056

Within Groups

299.922

234

1.282

Total

307.392

236

ReligionR

Between Groups

60.791

2

30.396

22.307

.000

Within Groups

318.854

234

1.363

Total

379.646

236

Item

Hypothesis

It is important that the candidate is compassionate about the needs of people [CompassR]

Democrat > Independent > Republican

It is important that the country elect a woman as president or vice president [WomanR]

Democrat > Independent > Republican

It is important that the candidate talk about his/her personal religious beliefs [ReligionR]

Republican > Independent > Democrat

Explanation / Answer

a. In each case, members of which party found each characteristic most important? In other words, which group had the largest mean? (3 pts)

Compass:Democrat

Woman: Democrat

Religion: Republican

b. For each f-test, how many degrees of freedom does Juddi have? (3 pts)

Compass:235

Woman:235

Religion:236

For each f-test, is the amount of variation in means across parties statistically significant? How do you know? (3 pts)

ans: only in case of WomanR f-stat is not significant since p-value>0.05

d. In each case, what do should Juddi conclude about the null hypothesis? (3 pts)

Compass: There is significant difference between 3 populations

Woman: There is NO significant difference between 3 populations

Religion:There is significant difference between 3 populations

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