(a) If the respondents answer truthfully, what is P(0.52 < p< 0.60)? This is the probability that ôi estimates 0.56 within plus or minus 0.04. (b) In fact, 72% of the respondents said they had voted p = 0.72). If respondents answer truthfully, what is P(p z 0.72)? This probability is so small that it is good evidence that some people who did not vote claimed that hey did vote. %3D

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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I need some help with my stats homework. This comes from the textbook introduction to the practices of statistics ninth edition. Can you help me please.
4.62 Normal approximation for a sample proportion.
A sample survey contacted an SRS of 700 registered
voters in Oregon shortly after an election and asked
respondents whether they had voted. Voter records show
Transcribed Image Text:4.62 Normal approximation for a sample proportion. A sample survey contacted an SRS of 700 registered voters in Oregon shortly after an election and asked respondents whether they had voted. Voter records show
the Normal distribution with mean µ = 0.56 and
that 56% of registered voters had actually voted. We
will see in the next chapter that, in this situation, the
proportion p of the sample who voted has approximately
the Normal distribution with mean µ = 0.56 and
standard deviation o =0.019.
(a) If the respondents answer truthfully, what is
P(0.52 < p < 0.60)? This is the probability that ôi
estimates 0.56 within plus or minus 0.04.
(b) In fact, 72% of the respondents said they had voted
(p = 0.72). If respondents answer truthfully, what is
P(p z 0.72)? This probability is so small that it is good
evidence that some people who did not vote claimed that
hey did vote.
%3D
Transcribed Image Text:the Normal distribution with mean µ = 0.56 and that 56% of registered voters had actually voted. We will see in the next chapter that, in this situation, the proportion p of the sample who voted has approximately the Normal distribution with mean µ = 0.56 and standard deviation o =0.019. (a) If the respondents answer truthfully, what is P(0.52 < p < 0.60)? This is the probability that ôi estimates 0.56 within plus or minus 0.04. (b) In fact, 72% of the respondents said they had voted (p = 0.72). If respondents answer truthfully, what is P(p z 0.72)? This probability is so small that it is good evidence that some people who did not vote claimed that hey did vote. %3D
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