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 5400 permanent dwellings on an entire reservation showed that 1606 were traditional hogans. (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 answer to three decimal places.) lower limit upper limit Give a brief interpretation of the confidence interval. 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.1% 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. No, the conditions are not satisfied. This is important because it allows us to say that p̂ is approximately normal.Yes, the conditions are satisfied. This is important because it allows us to say that p̂ is approximately binomial. Yes, the conditions are satisfied. This is important because it allows us to say that p̂ is approximately normal.No, the conditions are not satisfied. This is important because it allows us to say that p̂ is approximately binomial

If n=�=25, ¯x=�¯=45, and s=�=6, find the margin of error E� at a 95% confidence level. Give your answer to at least two decimal places.

Beth wants to determine a 99% confidence interval for the true proportion of high school students in the area who attend their home basketball games. How large of a sample must she have to get a margin of error less than 0.04? Assume we have no prior estimate of the proportion and want a conservative choice for the sample size. n =

Solve question #6 both part a and part b please and thank you.

Use the information below to answer Questions #19 and #20. In a survey of 2327 adults, 726 say they believe in UFOS. Construct a 90% confidence interval for the population proportion of adults who believe in UFOS. Find the left end point for a 90% confidence interval. Round to three decimal places as needed.

In a survey of 2316 adults, 722 say they believe in UFOs. Construct a 90% confidence interval for the population proportion of adults who believe in UFOs. A 90% confidence interval for the population proportion is ( (Round to three decimal places as needed.) Interpret your results. Choose the correct answer below. O A. With 90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the given confidence interval. OB. With 90% confidence, it can be said that the sample proportion of adults who believe in UFOs is between the endpoints of the given confidence interval. O C. The endpoints of the given confidence interval shows that 90% of adults believe in UFOs. O D. With 90% probability, the population proportion of adults who do not believe in UFOs is between the endpoints of the given confidence interval.

See picture attached