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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.

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.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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 Question-1 a. 0.2974 v Question 2 v Question 3 b. 0.08535 Question 4 C. Hg: p = 0.4, H,: p > 0.4 d. 0.1318 e. Yes, increasing the sample size will increase the probability of committing type I error f. Yes, increasing the sample size will decrease the probability of committing type I error g. 0 probability h. Ho: p = 0.4, H;: p # 0.4
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 Question-1 a. 0.2974 v Question 2 v Question 3 b. 0.08535 Question 4 C. Hg: p = 0.4, H,: p > 0.4 d. 0.1318 e. Yes, increasing the sample size will increase the probability of committing type I error f. Yes, increasing the sample size will decrease the probability of committing type I error g. 0 probability h. Ho: p = 0.4, H;: p # 0.4
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