Determine whether an individuals political affiliation affec

Determine whether an individual\'s political affiliation affects his or her overall satisfaction with the economy. For this assignment, use only subjects that declared themselves as Republicans or Democrats and leave out any subjects who declared themselves as Independents or Undecided. Analyze any potential differences by conducting the appropriate type oft-test.

Be sure to use the proper df and show all the steps of calculations, including the test statistic.

Include an explanation of how the critical value was determined. Explain why you chose that particulart-test.

Name

Age

Height

(inches)

Gender

Years of college

Political affiliation

Hours of work per week

Satisfaction with job

Satisfaction with income

Satisfaction with economy

Jessica

25

67

F

4

R

40

5

5

7

Sam

26

71

M

4

D

40

5

5

6

Mary

32

65

F

4

D

40

6

5

6

Dawn

40

68

F

0

I

40

7

8

8

Tom

28

71

M

4

R

40

8

9

9

Terry

30

72

M

2

I

40

9

9

9

John

35

68

M

4

D

40

10

10

9

Patty

36

64

F

0

I

40

8

8

9

Chris

40

66

M

0

R

40

8

10

9

Name	Age	Height (inches)	Gender	Years of college	Political affiliation	Hours of work per week	Satisfaction with job	Satisfaction with income	Satisfaction with economy
Jessica	25	67	F	4	R	40	5	5	7
Sam	26	71	M	4	D	40	5	5	6
Mary	32	65	F	4	D	40	6	5	6
Dawn	40	68	F	0	I	40	7	8	8
Tom	28	71	M	4	R	40	8	9	9
Terry	30	72	M	2	I	40	9	9	9
John	35	68	M	4	D	40	10	10	9
Patty	36	64	F	0	I	40	8	8	9
Chris	40	66	M	0	R	40	8	10	9

Solution

We use independet t test becuase it tests two different groups.

Let mu1 be the mean for R

Let mu2 be the mean for D

The test hypothesis is

Ho: mu1=mu2(i.e. null hypothesis)

Ha: mu1 not equal to mu2 (i.e. alternative hypothesis)

The test statistic is

t=(xbar1-xbar2)/sqrt(s1^2/n1+s2^2/n2)

=(8.33-7)/sqrt(1.15^2/3+1.73^2/3)

= 1.11

The degree of freedom =n1+n2-2=3+3-2=4

Assume that the significant level a=0.05

It is a two-tailed test.

The critical values are t(0.025, df=4)=-2.78 or 2.78 (from student t table)

The rejection regions are if t<-2.78 or t>2.78, we reject Ho.

Since t=1.11 is between -2.78 and 2.78, we do not reject Ho.

So we can not conclude that an individual\'s political affiliation affects his or her overall satisfaction with the economy

R	D
8.33	7.00	mean
1.15	1.73	std. dev.
3	3	n