Statistics: (Please show steps)

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

A random sample of 5220 permanent dwellings on an entire reservation showed that 1683 were traditional hogans.

(a) Let p be the proportion of all permanent dwellings on the entire reservation that are traditional hogans.

(a) Find a point estimate for p. (Round your answer to four decimal places.)

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

lower limit

upper limit

Give a brief interpretation of the confidence interval.

1% of all confidence intervals 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.

99% of the confidence intervals created using this method 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 that np > 5 and nq > 5 are satisfied for this problem? Explain why this would be an important consideration.

Yes, the conditions are satisfied. This is important because it allows us to say that p^ is approximately binomial.

No, the conditions are not satisfied. This is important because it allows us to say that p^ is approximately binomial.

No, the conditions are not satisfied. This is important because it allows us to say that p^ is approximately normal.

Yes, the conditions are satisfied. This is important because it allows us to say that p^ is approximately normal.