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AP Statistics/Unit 5: Sampling Distributions
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Standard Deviation of Difference in Proportions

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The proportion of customers at a revamped restaurant who leave at least 100 calories on their plate is p1=0.25p_1 = 0.25. For an unrevamped restaurant, this proportion is p2=0.19p_2 = 0.19. If a random sample of n1=110n_1 = 110 customers is taken from the revamped restaurant and an independent random sample of n2=120n_2 = 120 customers is taken from the unrevamped restaurant, what is the standard deviation of the difference in sample proportions, σp^1−p^2\sigma_{\hat{p}_1 - \hat{p}_2}?

A

0.07000.0700

B

0.06000.0600

C

0.05470.0547

D

0.04500.0450

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