300 qualified voters sampled in a certain city are asked if they favor an additional 5% sin tax to provide the badly needed revenues for the city projects. If more than 220 but fewer than 260 favo the sin tax, we therefore shall conclude that 60% of the voters are for it. (a) Find the proba. of committing a type I error if 60% of the resident voters favor the increased tax (b) What is the probability of committing a type Il error using this test procedure if actually only 48% of the resident voters are in favor of the additional tax?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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300 qualified voters sampled in a certain city are asked if they favor an additional 5% sin tax to
provide the badly needed revenues for the city projects. If more than 220 but fewer than 260 favor
the sin tax, we therefore shall conclude that 60% of the voters are for it.
(a) Find the proba. of committing a type I error if 60% of the resident voters favor the increased tax.
(b) What is the probability of committing a type Il error using this test procedure if actually only 48%
of the resident voters are in favor of the additional tax?
Transcribed Image Text:300 qualified voters sampled in a certain city are asked if they favor an additional 5% sin tax to provide the badly needed revenues for the city projects. If more than 220 but fewer than 260 favor the sin tax, we therefore shall conclude that 60% of the voters are for it. (a) Find the proba. of committing a type I error if 60% of the resident voters favor the increased tax. (b) What is the probability of committing a type Il error using this test procedure if actually only 48% of the resident voters are in favor of the additional tax?
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