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A recent survey suggests that Americans anticipate a
Chapter 3, Problem 208SE(choose chapter or problem)
Problem 208SE
A recent survey suggests that Americans anticipate a reduction in living standards and that a steadily increasing level of consumption no longer may be as important as it was in the past. Suppose that a poll of 2000 people indicated 1373 in favor of forcing a reduction in the size of American automobiles by legislative means. Would you expect to observe as many as 1373 in favor of this proposition if, in fact, the general public was split 50–50 on the issue? Why?
Questions & Answers
QUESTION:
Problem 208SE
A recent survey suggests that Americans anticipate a reduction in living standards and that a steadily increasing level of consumption no longer may be as important as it was in the past. Suppose that a poll of 2000 people indicated 1373 in favor of forcing a reduction in the size of American automobiles by legislative means. Would you expect to observe as many as 1373 in favor of this proposition if, in fact, the general public was split 50–50 on the issue? Why?
ANSWER:
Solution :
Step 1 of 2:
Let Y denotes the number of people in favor of the proposition is binomial with n and p.
Here n=2000 and p=0.5
Our goal is:
We need to find would you expect to observe as many as 1373 in favour of this proportion if, in fact, the general public was split 50-50 on this issue?Why? .
The formula for E(Y) is
E(Y)= np
E(Y)= 20000.5