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na random sample of 60 professional actors, it was found that 36 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.) |600 (b) Find a 95% confidence interval for p. (Round your answers to two decimal places.) |45 | 1.05 lower limit upper limit 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. We are 5% confident that the true proportion of actors who are extroverts falls within this interval. We are 95% confident that the true proportion of actors who are extroverts falls outside this interval. We are 5% confident that the true proportion of actors who are extroverts falls above this interval. (c) Do you think the conditions n-p > 5 and n-q > 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 ý is approximately normal. O 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 normal. O No, the conditions are not satisfied. This is important because it allows us to say that p is approximately binomial.

na random sample of 60 professional actors, it was found that 36 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.) |600 (b) Find a 95% confidence interval for p. (Round your answers to two decimal places.) |45 | 1.05 lower limit upper limit 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. We are 5% confident that the true proportion of actors who are extroverts falls within this interval. We are 95% confident that the true proportion of actors who are extroverts falls outside this interval. We are 5% confident that the true proportion of actors who are extroverts falls above this interval. (c) Do you think the conditions n-p > 5 and n-q > 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 ý is approximately normal. O 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 normal. O No, the conditions are not satisfied. This is important because it allows us to say that p is approximately binomial.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Please answer all parts a,b and c. thank you.

In a random sample of 60 professional actors, it was found that 36 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.) .600 (b) Find a 95% confidence interval for p. (Round your answers to two decimal places.) lower limit 45 upper limit 1.05 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 within this interval. O We are 95% confident that the true proportion of actors who are extroverts falls outside this interval. O We are 5% confident that the true proportion of actors who are extroverts falls above this interval. (c) Do you think the conditions n-p > 5 and n-g > 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 Yes, the conditions are satisfied. This is important because it allows us to say that p is approximately binomial. O No, the 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.
Transcribed Image Text:In a random sample of 60 professional actors, it was found that 36 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.) .600 (b) Find a 95% confidence interval for p. (Round your answers to two decimal places.) lower limit 45 upper limit 1.05 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 within this interval. O We are 95% confident that the true proportion of actors who are extroverts falls outside this interval. O We are 5% confident that the true proportion of actors who are extroverts falls above this interval. (c) Do you think the conditions n-p > 5 and n-g > 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 Yes, the conditions are satisfied. This is important because it allows us to say that p is approximately binomial. O No, the 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.
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