(1) For this problem, carry at least fourdigits after the decimal in your calculations. Answers may varyslightly due to rounding.

In a random sample of 70 professional actors, it was found that 45were extroverts.

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


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

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(2) For this problem, carry at least fourdigits after the decimal in your calculations. Answers may varyslightly due to rounding.

A random sample of 5,100 permanent dwellings on an entirereservation showed that 1,641 were traditional hogans.

(a) Let p be the proportion of allpermanent dwellings on the entire reservation that are traditionalhogans. Find a point estimate for p. (Round your answer tofour decimal places.)

(b) Find a 99% confidence interval forp. (Round your answer to three decimal places.)

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(3) For this problem, carry at least fourdigits after the decimal in your calculations. Answers may varyslightly due to rounding.

In a random sample of 520 judges, it was found that 282 wereintroverts.

(a) Let p represent the proportion ofall judges who are introverts. Find a point estimate forp. (Round your answer to four decimal places.)______


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

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