QUESTION 1

In a random sample of65professional actors, it was found that40were extroverts.

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

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QUESTION 2

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

QUESTION 3

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.)

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

lower limit

upper limit

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.)

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

lower limit

upper limit