Here is an copy of the study I randomly sent out to students in North Olmsted:

Which hand do you predominantly use?

 L          R

On a scale of 1 to 5, with 1 being very liberal and 5 being very conservative (3 being neutral), where would you place yourself on this number line? 

1            2            3            4            5

2 Proportion Test

 For my study, I chose to do a 2 Proportion hypothesis z-test. This is because I have a sample proportion of right handed people with their political preferences and left handed people with their political preferences. I am running this test to identify any correlations betweeen handedness and political preference.

 

The left hand test follows these steps:

 

1) null: Proportion of liberals=Proportion of conservatives

2) alternative:Proportion of liberal > proportion of conservative

3) alpha=0.05

4) z-score=

 

 

 

5) assumptions

        a) np>10

        b) n(1-p)>10

        c) random sample

6) Minitab Results:

Test and CI for Two Proportions

Sample X   N Sample p
1            11 11 1.000000
2             0  11 0.000000


Difference = p (1) - p (2)
Estimate for difference: 1
95% CI for difference: (*, *)
Test for difference = 0 (vs not = 0): Z = * P-Value = *

Fisher's exact test: P-Value = 0.000


* NOTE * The normal approximation may be inaccurate for small samples.

7) p-value=0

 

The Right hand test follows these steps:

 

1) null: Proportion of liberals=Proportion of conservatives

2) alternative:Proportion of liberal < proportion of conservative

3) alpha=0.05

4) z-score=

 

 

 

5) assumptions

     a) np>10

     b) n(1-p)>10

     c) random sample

6) Minitab Results:

Test and CI for Two Proportions

Sample X   N     Sample p
1             8  43     0.186047
2             9  43     0.209302


Difference = p (1) - p (2)
Estimate for difference: -0.0232558
95% upper bound for difference: 0.117957
Test for difference = 0 (vs < 0): Z = -0.27 P-Value = 0.393

Fisher's exact test: P-Value = 0.500

7) p-value=0.393

 

 

To see the raw data and graphical displays of the results, look at these links:

 

-Raw Data

 

-Relevant Discriptive Statistics and Graphs