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 of60professional actors, it was found that44were extroverts.

(a)

Letprepresent the proportion of all actors who are extroverts. Find point estimates forpandq. (Round your answer to four decimal places.)

p=

q=

(b)

Find a 95% confidence interval forp.

Find the maximal margin of error. (Round your answer to two decimal places.)

E=

Report the bounds from the 95% confidence interval forp. (Round your answers to two decimal places.)

lower limit

upper limit

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

A random sample of5280permanent dwellings on an entire reservation showed that1662were traditional hogans.

(a) Letpbe the proportion of all permanent dwellings on the entire reservation that are traditional hogans. Find a point estimate forp. (Round your answer to four decimal places.)

?

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

lower limit

upper limit

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

A random sample of5,320permanent dwellings on an entire reservation showed that1,550were traditional hogans.

(a)

Letpbe the proportion of all permanent dwellings on the entire reservation that are traditional hogans. Find a point estimate forp. (Round your answer to four decimal places.)

(b)

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

lower limit

upper limit

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

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 of602potsherds was found, of which351were identified as Santa Fe black-on-white.

(a) Letprepresent the proportion of Santa Fe black-on-white potsherds at the excavation site. Find a point estimate forp. (Round your answer to four decimal places.)

?

(b) Find a 95% confidence interval forp. (Round your answers to three decimal places.)

lower limit

upper limit

Case studies showed that out of10,528convicts who escaped from certain prisons, only8240were recaptured.

(a) Letprepresent the proportion of all escaped convicts who will eventually be recaptured. Find a point estimate forp. (Round your answer to four decimal places.)

?

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

lower limit

upper limit

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

What percentage of your campus student body is female? Letpbe the proportion of women students on your campus.

(a)

If no preliminary study is made to estimatep, how large a sample is needed to be 99% sure that a point estimatepwill be within a distance of0.06fromp? (Round your answer up to the nearest whole number.)

? students

(b)

A report indicates that approximately61% of college students are females. Answer part (a) using this estimate forp. (Round your answer up to the nearest whole number.)

?students