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

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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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. Yes, increasing the sample size will decrease the probability of committing type I error
v Question 3
c. Ho: p = 0.4, H1: p > 0.4
v Question 4
d. 0 probability
e. 0.08535
f. 0.2974
g. Ho: p = 0.4, H1: p# 0.4
h.0.1318
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. Yes, increasing the sample size will decrease the probability of committing type I error v Question 3 c. Ho: p = 0.4, H1: p > 0.4 v Question 4 d. 0 probability e. 0.08535 f. 0.2974 g. Ho: p = 0.4, H1: p# 0.4 h.0.1318
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