Question

Democrats and Republicans were surveyed on their support of gun control legislation using a standardized measure (high scores representing greater support of gun control). Using the data provided, test the difference between the means (assume a two-tailed t-test) and answer the questions below:

Democrats                                                       Republicans

N = 50                                                              N = 40

Mean = 6.0                                                                  Mean = 4.9

Standard Deviation = 1.2                                 Standard Deviation = 1.4

8. In words: What would be the null hypothesis?

           

9. In words: What is the research hypothesis?

10. Calculate t: t = __________

11. What are your degrees of freedom? __________

12. Are your results significant at the .05 level? __________

13. In words: What are your conclusions about the null hypothesis?

Answer 1

the null hypothesis: H0:

the research hypothesis Ha:
t =

t= (6-4.9)/sqrt((1.2)^2/50+(1.4)^2/40)

t= 1.1/sqrt(0.0288+0.049)

t= 1.1/sqrt(0.0778)

t= 1.1/0.279

t= 3.94

degrees of freedom is 77
The p-value is .000178.The result is significant because p < .05.

onclusions about the null hypothesis: REJECT NULL HYPOTHESIS H0.

Conclusion: We have sufficient evidence to show that there is difference between two means.