The All-Countries dataset shows that the percent of the population living in rural areas is 57.3% in

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The All-Countries dataset shows that the percent of the population living in rural areas is 57.3% in Egypt and 21.6% in Jordan. Suppose we take random samples of size 400 people from each country, and compute the difference in sample proportions p̂E − p̂J, where p̂E represents the sample proportion living in rural areas in Egypt and p̂J represents the sample proportion living in rural areas in Jordan.
(a) Find the mean and standard deviation of the distribution of differences in sample proportions, p̂E − p̂J.
(b) If the sample sizes are large enough for the Central Limit Theorem to apply, draw a curve showing the shape of the sampling distribution. Include at least three values on the horizontal axis.
(c) Using the graph drawn in part (b), are we likely to see a difference in sample proportions as large in magnitude as 0.4? As large as 0.5? Explain.

Distribution
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Statistics Unlocking The Power Of Data

ISBN: 9780470601877

1st Edition

Authors: Robin H. Lock, Patti Frazer Lock, Kari Lock Morgan, Eric F. Lock, Dennis F. Lock

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