A scale measuring persons confidence in the media was administered to a sample of respondents.Is there a statistically significant difference between Democrats and Republicans in terms of their confidence in media?Higher scores on the scale indicate greater confidence. Use the five step model and write a sentence or two interpreting your results.

DemocratsRepublicans

X₁=8.5X₂= 7.8

s₁ =1.5s₂=1.1

N₁ =36N₂ = 35

SAMPLE RESPONSE

Step 1.Making Assumptions

1.Samples 1 and 2 are random and independent.

2.Our variable is a long ordinal scale (rating)

3.The sampling Z distribution is normal (our sample is large enough (N>120 for both samples together))

Step 2.Stating the Hypotheses

Research Hypothesis:There is a difference between AA and Reg employees in terms of efficiency.

Null Hypothesis: There is no difference between AA and Reg employees in terms of efficiency.

Step 3.Drawing the Sampling Distribution and establishing a critical region.

-0.83

Step 4.Computing the test statistic

Sigma =

Z(obtained) =

Step 5. Placing Z obtained on the distribution and stating the conclusion.

Conclusion: Z obtained is not in the critical region. We fail to reject the null hypothesis with 95% confidence. It appears that there is no difference between AA and Reg employees in terms of efficiency.