Statistics: The Art and Science of Learning from Data (4th Edition)
Statistics: The Art and Science of Learning from Data (4th Edition)
4th Edition
ISBN: 9780321997838
Author: Alan Agresti, Christine A. Franklin, Bernhard Klingenberg
Publisher: PEARSON
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Chapter 1.3, Problem 25PB

a.

To determine

Explain how the sample proportions of success will vary around 0.60 by repeating the activity with population proportion 0.60 for at least five samples of each size with 10 and 1,000.

b.

To determine

Identify the effect of sample size on the amount by which sample proportions tend to vary around the population proportion 0.60 in part (a).

c.

To determine

Write the practical implication of the effect of the sample size given part (b) with respect to the making inferences.

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6. Show that 1{AU B} = max{1{A}, I{B}} = I{A} + I{B} - I{A} I{B}; I{AB} = min{I{A}, I{B}} = I{A} I{B}; I{A A B} = I{A} + I{B}-21{A} I {B} = (I{A} - I{B})².
Theorem 3.5 Suppose that P and Q are probability measures defined on the same probability space (2, F), and that F is generated by a л-system A. If P(A) = Q(A) for all A = A, then P = Q, i.e., P(A) = Q(A) for all A = F.
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Statistics: The Art and Science of Learning from Data (4th Edition)

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