Question
A law student believes that the proportion of registered Republicans in favor of additional tax incentives is greater than the proportion of registered Democrats in
A law student believes that the proportion of registered Republicans in favor of additional tax incentives is greater than the proportion of registered Democrats in favor of such incentives. The student acquired independent random samples of 200 Republicans and 200 Democrats and found 109 Republicans and 86 Democrats in favor of additional tax incentives
Test and CI for Two Proportions
Sample X N Sample proportion (p)
1 109 200 0.545000
2 86 200 0.430000
Estimate for p(1) - p(2): 0.115
95% CI for p(1) - p(2): (0.0176828, 0.212317)
Test for p(1) - p(2) = 0 (vs > 0): Z = 2.32 P-Value = 0.010
What is your conclusion about the difference between Republicans and Democrats?
The null hypothesis of no difference can be rejected | ||
The null hypothesis of a significant difference can be rejected | ||
There is a no significant difference between the mean of Republicans and Democrats | ||
There are not enough observations to arrive at a conclusion |
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