A random sample of 750 registered voters in Phoenix is asked if they favor the use of oxygenated fuels year-round to reduce air pollution. If more than 315 voters respond positively, we will conclude that at least 40% of the voters favor the use of these fuels. Question-1 Formulate the null and alternative hypothesis Question-2 Find the probability of type I error if exactly 40% of the voters favor the use of these fuels. Question-3 What is the type II error probability ß if 38% of the voters favor this action? Question-4 Would increasing the sample size decrease the probability of rejecting the proportion that 40% are in favor of the use of oxygenated fuels

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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A random sample of 750 registered voters in Phoenix is asked if they favor the use of oxygenated fuels
year-round to reduce air pollution. If more than 315 voters respond positively, we will conclude that at
least 40% of the voters favor the use of these fuels.
Question-1
Formulate the null and alternative hypothesis
Question-2
Find the probability of type I error if exactly 40% of the voters favor the use of these fuels.
Question-3
What is the type II error probability B if 38% of the voters favor this action?
Question-4
Would increasing the sample size decrease the probability of rejecting the proportion that 40% are in
favor of the use of oxygenated fuels
v Question-1
a. Yes, increasing the sample size will increase the probability of committing type I error
v Question 2
b. 0 probability
v Question 3
с. Но: р %3D 0.4, Н1: р #0.4
v Question 4
d. Ho: р %3D 0.4, Н1:р> 0.4
е. О.1318
f. Yes, increasing the sample size will decrease the probability of committing type I error
g. 0.2974
h. 0.08535
Transcribed Image Text:A random sample of 750 registered voters in Phoenix is asked if they favor the use of oxygenated fuels year-round to reduce air pollution. If more than 315 voters respond positively, we will conclude that at least 40% of the voters favor the use of these fuels. Question-1 Formulate the null and alternative hypothesis Question-2 Find the probability of type I error if exactly 40% of the voters favor the use of these fuels. Question-3 What is the type II error probability B if 38% of the voters favor this action? Question-4 Would increasing the sample size decrease the probability of rejecting the proportion that 40% are in favor of the use of oxygenated fuels v Question-1 a. Yes, increasing the sample size will increase the probability of committing type I error v Question 2 b. 0 probability v Question 3 с. Но: р %3D 0.4, Н1: р #0.4 v Question 4 d. Ho: р %3D 0.4, Н1:р> 0.4 е. О.1318 f. Yes, increasing the sample size will decrease the probability of committing type I error g. 0.2974 h. 0.08535
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