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

A random sample of5080permanent dwellings on an entire reservation showed that1697were 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 answer to three decimal places.)

a:lower limit=

b:upper limit=

Give a brief interpretation of the confidence interval.

99% of the confidence intervals created using this method would include the true proportion of traditional hogans.

1% of the confidence intervals created using this method would include the true proportion of traditional hogans.

1% of all confidence intervals would include the true proportion of traditional hogans.

99% of all confidence intervals would include the true proportion of traditional hogans.

(c) Do you think thatnp>5 andnq>5 are satisfied for this problem? Explain why this would be an important consideration.

a:No, the conditions are not satisfied. This is important because it allows us to say thatpis approximately normal.

b:No, the conditions are not satisfied. This is important because it allows us to say thatpis approximately binomial.

c:Yes, the conditions are satisfied. This is important because it allows us to say thatpis approximately normal.

d:Yes, the conditions are satisfied. This is important because it allows us to say thatpis approximately binomial.