i just need help with a and b 5 and ng > 5 are satisfied in this problem? Explain why this would be an important consideration.O Yes, the conditions are satisfied. This is important because it allows...

i just need help with a and b

Extracted text: In a random sample of 69 professional actors, it was found that 37 were extroverts. (a) Let p represent the proportion of all actors who are extroverts. Find a point estimate for p. (Round your answer to four decimal places.) 0.2785 (b) Find a 95% confidence interval for p. (Round your answers to two decimal places.) lower limit 0.250 upper limit 0.307 Give a brief interpretation of the meaning of the confidence interval you have found. O we are 95% 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 5% confident that the true proportion of actors who are extroverts falls within this interval. O we are 95% confident that the true proportion of actors who are extroverts falls outside 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. O Yes, the conditions are satisfied. This is important because it allows us to say that p is approximately normal. O No, he conditions are not satisfied. This is important because it allows us to say that p is approximately normal. O No, the conditions are not satisfied. This is important because it allows us to say that p is approximately binomial. O Yes, the conditions are satisfied. This is important because it allows us to say that p is approximately binomial. US 1 Chp