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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 69 professional actors, it was found that 37 were extroverts. A USE SALT (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. (b) Find a 95% confidence interval for p. (Round your answers to two decimal places.) lower limit upper limit Give 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 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. O 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. 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. 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.

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 69 professional actors, it was found that 37 were extroverts. A USE SALT (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. (b) Find a 95% confidence interval for p. (Round your answers to two decimal places.) lower limit upper limit Give 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 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. O 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. 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. 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.

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
Section10.6: Summarizing Categorical Data
Problem 10CYU
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7.3 Homework - eCore MATH 1401 1EG Spring 2021, section 1EG, Spring 2021|WebAssign Microsoft Edge ttps://www.webassign.net/web/Student/Assignment-Responses/last?dep3D25791563 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 69 professional actors, it was found that 37 were extroverts. n USE SALT (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. (b) Find a 95% confidence interval for p. (Round your answers to two decimal places.) lower limit upper limit Give a brief interpretation of the meaning of the confidence interval you have found. OWe 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. OWe 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. O No, the conditions are not satisfied. This is important because it allows us to say that p is approximately normal. ONo, 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 normal. OYes, the conditions are satisfied. This is important because it allows us to say that p is approximately binomial.
Transcribed Image Text:7.3 Homework - eCore MATH 1401 1EG Spring 2021, section 1EG, Spring 2021|WebAssign Microsoft Edge ttps://www.webassign.net/web/Student/Assignment-Responses/last?dep3D25791563 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 69 professional actors, it was found that 37 were extroverts. n USE SALT (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. (b) Find a 95% confidence interval for p. (Round your answers to two decimal places.) lower limit upper limit Give a brief interpretation of the meaning of the confidence interval you have found. OWe 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. OWe 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. O No, the conditions are not satisfied. This is important because it allows us to say that p is approximately normal. ONo, 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 normal. OYes, the conditions are satisfied. This is important because it allows us to say that p is approximately binomial.
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