Flip a coin 60 times Record the outcome of each of the 60 fl

Flip a coin 60 times. Record the outcome of each of the 60 flips in order from 1 to 60, using the Tally Sheet accompanying the Final Exam. Tally the number of heads and the number of tails and calculate the proportion of heads in your sample.

Based on your sample result, calculate a 95% Confidence Interval for the true population value. Calculate a 95% Confidence Interval for the proportion of heads.

Heads was flipped 33 times out of 60.

Solution

Proportion of heads (p) = 33/60 = 0.55

n = 60

z for 95% confidence interval = 1.96

Confidence Interval:

( p - z*sqrt(p(1-p)/n) , p + z*sqrt(p(1-p)/n) )

= ( 0.55 - 1.96*sqrt(0.55(1-0.55)/60) , 0.55 + 1.96*sqrt(0.55(1-0.55)/60) )

= ( 0.424 , 0.676 ) Answer