A random sample of 400 voters in a certain city are asked if they favor an additional 4% gasoline sales tax to provide badly needed revenues for street repairs. If more than 220 but fewer than 260 favor the sales tax, we shall conclude that 60% of the voters are for it. (a) Find the probability of committing a type I error if 60% of the voters favor the increased tax. (b) What is the probability of committing a type II error using this test procedure if actually only 48% of the voters are in favor of the additional gasoline tax?
A random sample of 400 voters in a certain city are asked if they favor an additional 4% gasoline sales tax to provide badly needed revenues for street repairs. If more than 220 but fewer than 260 favor the sales tax, we shall conclude that 60% of the voters are for it. (a) Find the probability of committing a type I error if 60% of the voters favor the increased tax. (b) What is the probability of committing a type II error using this test procedure if actually only 48% of the voters are in favor of the additional gasoline tax?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 50E: Flexible Work Hours In a recent survey, people were asked whether they would prefer to work flexible...
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A random sample of 400 voters in a certain city are asked if they favor an
additional 4% gasoline sales tax to provide badly needed revenues for
street repairs. If more than 220 but fewer than 260 favor the sales tax, we
shall conclude that 60% of the voters are for it. (a) Find the probability of
committing a type I error if 60% of the voters favor the increased tax. (b)
What is the probability of committing a type II error using this test
procedure if actually only 48% of the voters are in favor of the additional
gasoline tax?
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