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 5,360 permanent dwellings on an entire reservation showed that 1,578 were traditional hogans. In USE SALT (a) Let p be the proportion of all permanent dwellings on the entire reservation that are traditional hogans. Find a point estimate for p. (Round your answer to four decimal places.) (b) Find a 99% confidence interval for p. (Round your answers to three decimal places.) lower limit 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. O 99% of all confidence intervals would include the true proportion of traditional hogans. 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