Nationally, 83% of Americans have earned a high school diploma.  We want to see if the proportion of Pennsylvania high school students who have a high school diploma is greater than 83%.  Suppose a representative sample of 225 Pennsylvanians is taken and each is asked if they have earned a high school diploma. Consider the sample proportion p-hat of Pennsylvanians who have a high school diploma.  If this was a true random selection of size 225 from a population of Pennsylvanians where 83% have earned a high school diploma, what would the mean and standard deviation of the sample proportion p-hat be?

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Nationally, 83% of Americans have earned a high school diploma.  We want to see if the proportion of Pennsylvania high school students who have a high school diploma is greater than 83%.  Suppose a representative sample of 225 Pennsylvanians is taken and each is asked if they have earned a high school diploma.

Consider the sample proportion p-hat of Pennsylvanians who have a high school diploma.  If this was a true random selection of size 225 from a population of Pennsylvanians where 83% have earned a high school diploma, what would the mean and standard deviation of the sample proportion p-hat be?

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