Question 436616: About 90% of the general population is right-handed. A researcher speculates that artists are less likely to be right-handed than the general population. In a random sample of 100 artists, 83 are right-handed. Which of the following best describes the p-value for this situation?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! About 90% of the general population is right-handed.
A researcher speculates that artists are less likely to be right-handed than the general population.
In a random sample of 100 artists, 83 are right-handed. Which of the following best describes the p-value for this situation?
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Ho: p = 0.9
Ha: p < 0.9 (implies a left-tail test)
p-hat = 0.83
z(0.83) = -2.3333
p-value = P(z<-2.333...) which is the P(prop. of rt.hand artists
is less than 0.83 if the population mean is 0.90)
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Ans: C
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Cheers,
Stan H.
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(A)The probability that the population proportion of artists who are right-handed is 0.90
(B) The probability that the population proportion of artists who are right-handed is 0.83
(C) The probability the sample proportion would be as small as 0.83, or even smaller, if the population proportion of artists who are right-handed is actually 0.90
(D) The probability that the population proportion of artists who are right-handed is less than 0.90, given that the sample proportion is 0.83
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