Chapter 1. The Sampling Distribution of a Difference Between Proportions

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Questions 1-3

3:17

Question 1.1

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Incorrect. p1 - p2 is the mean of the sampling distribution of \(\widehat{p}_{1}\) - \(\widehat{p}_{2}\).
Correct. p1 - p2 is the mean of the sampling distribution of \(\widehat{p}_{1}\) - \(\widehat{p}_{2}\).
Incorrect. Try again.
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Question 1.2

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Incorrect. \(\sqrt{ \frac{ p_{1}(1- p_{1})}{ n_{1} } + \frac{p_{2}(1- p_{2})}{ n_{2} } } \) is the standard deviation of the sampling distribution of \(\widehat{p}_{1}\) - \(\widehat{p}_{2}\).
Correct. \(\sqrt{ \frac{ p_{1}(1- p_{1})}{ n_{1} } + \frac{p_{2}(1- p_{2})}{ n_{2} } } \) is the standard deviation of the sampling distribution of \(\widehat{p}_{1}\) - \(\widehat{p}_{2}\).
Incorrect. Try again.
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Question 1.3

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Incorrect. The shape of the sampling distribution of \(\widehat{p}_{1}\) - \(\widehat{p}_{2}\) is approximately Normal provided n1p1 \(\geq\) 5, n1(1-p1) \(\geq\) 5, n2p2 \(\geq\) 5, and n2(1-p2) \(\geq\) 5.
Correct. The shape of the sampling distribution of \(\widehat{p}_{1}\) - \(\widehat{p}_{2}\) is approximately Normal provided n1p1 \(\geq\) 5, n1(1-p1) \(\geq\) 5, n2p2 \(\geq\) 5, and n2(1-p2) \(\geq\) 5.
Incorrect. Try again.
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