Question

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.

If the population proportion, p = 0.69,

The mean, μμ, of X is -------

The standard deviation, σσ, of X is (round to 4 decimal places) ------

The mean, μμ, of pˆp^ is ---------

The standard deviation, σσ, of pˆp^ is (round to 4 decimal places) . ---------

Answer 1

Solution

Given that,

p = 0.69

1 - p =

n = 30000

The mean of the sampling distribution of proportion is ,

= p = 0.69

The standard deviation of the sampling distribution is ,  

=  [p( 1 - p ) / n = [(0.69 * 0.31) / 30000 ] = 0.0008