Suppose 50% of the registered voters in a country are Republican. If a sample of 598...
Suppose 50% of the registered voters in a country are Republican. If a sample of 598 voters is selected, what is the probability that the sample proportion of Republicans will be less than 47%?
Round your answer to four decimal places.
Homework Answers
Solution
Given that,
p = 0.50
1 - p = 1 - 0.50 = 0.50
n = 598
= p = 0.50
= 
[p
( 1 - p ) / n] =
[(0.50 * 0.50) / 598 ] = 0.0204
P(
< 0.47)
= P[(
-
) /
< (0.47 - 0.50) / 0.0204]
= P(z < -1.47)
Using z table,
= 0.0708
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