STATISTICAL ANALYSIS (No long explanation needed. Rate will be given and write the complete solutions.) Choose the correct answerfor each question. a. H0: p = 0.4, H1: p > 0.4 b. 0.2974   c. 0 probability d. H0: p = 0.4, H1: p ≠ 0.4 e. 0.1318 f. 0.08535 g. Yes, increasing the sample size will increase the probability of committing type I error h. Yes, increasing the sample size will decrease the probability of committing type I error

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Author:Amos Gilat
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STATISTICAL ANALYSIS (No long explanation needed. Rate will be given and write the complete solutions.) Choose the correct answerfor each question.

a.

H0p = 0.4, H1p > 0.4

b.

0.2974

 

c.

0 probability

d.

H0p = 0.4, H1p ≠ 0.4

e.

0.1318

f.

0.08535

g.

Yes, increasing the sample size will increase the probability of committing type I error

h.

Yes, increasing the sample size will decrease the probability of committing type I error

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 altemative 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
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 altemative 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
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