Question

Sandy Carlson, who plays for her college basketball team, had an 80% free throw percentage in the previous fall semester. On average, Sandy made 8 out of every 10 free throws. If we are to randomly select 80 free throws she has made throughout the season and then record the number of successes in these 80 free throws, then the standard deviation of the sample proportion is: A) 0.001 B) 0.80. C) 0.04. D) 0.94. E) 0.06.

Answer 1

Given that, sample proportion $(\hat p)$ = 0.80

sample size ( n ) = 80

The standard deviation of the sample proportion is,

p1- )0.80(1-0.80) 0.04 7l

Answer: C) 0.04