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

a) In a random sample of 65 professional actors, it was found that 41 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= ?

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

a) In a random sample of 500 judges, it was found that 275 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 = ?

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

a) A random sample of 5240 permanent dwellings on an entire reservation showed that 1662 were traditional hogans.(a) Let p be the proportion of all permanent dwellings on the entire reservation that are traditional hogans. 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 = ?

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

a) Santa Fe black-on-white is a type of pottery commonly found at archaeological excavations at a certain monument. At one excavation site a sample of 588 potsherds was found, of which 358 were identified as Santa Fe black-on-white.(a) Let p represent the proportion of Santa Fe black-on-white potsherds at the excavation site. 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 three decimal places.)

lower limit= ?

upper limit = ?