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Question

The earlier exercise presents the results of a poll evaluating support for the health care public option plan in 2009. 70%70 \% of 819 Democrats and 42%42 \% of 783 Independents support the public option.

(a) Calculate a 95%95 \% confidence interval for the difference between (pDpI)\left(p_D-p_I\right) and interpret it in this context. We have already checked conditions for you.

(b) True or false: If we had picked a random Democrat and a random Independent at the time of this poll, it is more likely that the Democrat would support the public option than the Independent.

Solution

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Answered two weeks ago
Answered two weeks ago
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Given:

n1=819n_1=819

p^1=70%=0.70\hat{p}_1=70\%=0.70

n2=783n_2=783

p^2=42%=0.42\hat{p}_2=42\%=0.42

c=95%=0.95c=95\%=0.95

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