Since the mid1960s the overall free throw percent at all col

Since the mid-1960s, the overall free throw percent at all college levels, for both men and women, has remained pretty consistent. For men, players have shot roughly 69% with the season percent never falling below 67% or larger than 70%. Assume that 300,000 free throws will be attempted in the upcoming season. Fill in the blanks. Give the value of Answer 1 to two decimal places and the value of Answer 2 to seven decimal places. If the population proportion, p = 0.69, The mean, , of pˆ is _Answer 1_. The standard deviation, , of pˆ is _Answer 2_

Solution

1.

The mean of p^ is the population proportion, 0.69. [ANSWER, 0.69]

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2.

The standard deviation of p^ is

s = sqrt(p(1-p)/n) = sqrt(0.69*(1-0.69)/300000)

s = 0.000844393 [ANSWER]