For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.In a random sample of 66 professional actors, it was found that 36 were extroverts.A USE SALT(a) Let p represent the proportion of all actors who are extroverts. Find point estimates for p and g. (Round your answer to four decimala =(b)Find a 95% confidence interval for p.Find the maximal margin of error. (Round your answer to two decimal places.)Report the bounds from the 95% confidence interval for p. (Round your answers to two decimal places.)lower limitupper limitGive a brief interpretation of the meaning of the confidence interval you have found.O We are 5% confident that the true proportion of actors who are extroverts falls within this interval.O We are 5% confident that the true proportion of actors who are extroverts falls above this interval.O We are 95% confident that the true proportion of actors who are extroverts falls outside this interval.We are 95% confident that the true proportion of actors who are extroverts falls within this interval.(c)Do you think the conditions np > 5 and ng > 5 are satisfied in 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 normal.onditions are satisfied. This is important because it allows us to say that p is approximately binomial.

Name: For this problem, carry at least four digits after the decimal in you
Uploaded: 2022-12-08T14:54:05.000Z
Channel: Bartleby
Description: For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.In a random sample of 66 professional actors, it was found that 36 were extroverts.A USE SALT(a) Let p represent the propo