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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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