Question

QUESTION # 1

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 524 judges, it was found that 283 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	_____

QUESTION # 2

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 66 professional actors, it was found that 37 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

Answer 1

1)

The statistic software output for this problem is:

One sample proportion summary confidence interval: p: Proportion of successes Method: Standard-Wald 99% confidence interval results: Proportion Count Total Sample Prop. Std. Err. L. Limit U. Limit 283 524 0.54007634 0.021772325 0.48399454 0.59615813

(a)  a point estimate for p = 0.5401

(b) Lower limit = 0.48

Upper limit = 0.60

2)

One sample proportion summary confidence interval: p : Proportion of successes Method: Standard-Wald 99% confidence interval results: Proportion Count Total Sample Prop. Std. Err. L. Limit U. Limit 37 66 0.56060606 0.061091946 0.40324364 0.71796848

(a)  a point estimate for p = 0.5606

(b) Lower limit = 0.40

Upper limit = 0.72