Question

In a random sample of 68 professional actors, it was found that 43 were extroverts.

(a) Let p represent the proportion of all actors who are extroverts. Find a point estimate for p. (Round your answer to four decimal places.)


(b) Find a 95% confidence interval for p. (Round your answers to two decimal places.)

lower limit
upper limit

C.For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.

In a random sample of 516 judges, it was found that 286 were introverts.

(a) Let p represent the proportion of all judges who are introverts. Find a point estimate for p. (Round your answer to four decimal places.)


(b) Find a 99% confidence interval for p. (Round your answers to two decimal places.)

lower limit
upper limit

Answer 1

1) Given : n=68 , X= 43

(a) The point estimate for p is,

p=X/n=43/68=0.6324

(b) The 95% confidence interval for p is

; q=1-p

Upper Limit = 0.75

Lower Limit = 0.52

2) Given : n=516 , X=286

(a) The point estimate for p is,

p=X/n=286/516=0.5543

(b) The 99% confidence interval for p is

; q=1-p

Upper Limit = 0.61

Lower Limit = 0.50