Question: QUESTION 1 In a random sample of65professional actors, it was found that40were extroverts. (a) Let p represent the proportion of all actors who are extroverts.

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.)

(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.)

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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.)

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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.)

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