Question 206340: Approximately 22% of students are majoring in one of the 4 science colleges. If we were to take a simple random sample of 200 students, what is the probability of getting a value for p-hat that is less than .20?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Approximately 22% of students are majoring in one of the 4 science colleges. If we were to take a simple random sample of 200 students, what is the probability of getting a value for p-hat that is less than .20?
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Draw a normal curve showing the distribution of the sample-proportions.
That distribution is centered at 0.22 with a standard deviation
of sqrt[0.22*0.78/200]
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P(p-hat < 0.20) = normalcdf(0,0.20,0.22,sqrt(0.22*0.78/200) = 0.2474
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Cheers,
Stan H.
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