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12. [-ID.2POI'nts] DETAILS I BBUNDERSTAT127.3.024. MY NOTES ASKYOURTEACHER PRACTICE ANOTHER For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding. How hard is it to reach a businessperson by phone? Let p be the proportion of calls to businesspeople for which the caller reaches the person being called on the rst try. (a) If you have no preliminary estimate for p, how many business phone calls should you include in a random sample to be 80% sure that the point estimate )5 will be within a distance of 0.03 from p? (Round your answer up to the nearest whole number.) phone calls (b) A report states that businesspeople can be reached by a single phone call approximately 19% of the time. Using this (national) estimate for p, answer part (a). (Round your answer up to the nearest whole number.) phone calls Need Help? _' 13. [40.3 Points] BBUNDERSTAT127.3.025.FB. For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding. What percentage of your campus student body is female? Let p be the proportion of women students on your campus. (a) If no preliminary study is made to estimate p, how large a sample is needed to be 99% sure that a point estimate {3 will be within a distance of 0.04 from p? (Round your answer up to the nearest whole number.) l | students 0:) A report indicates that approximately 54% of college students are females. Answer part (a) using this estimate for p. (Round your answer up to the nearest whole number.) N 10. [-/0.2 Points] DETAILS BBUNDERSTAT12 7.3.023.FB. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 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 medical files is used to estimate the proportion p of all people who have blood type B. (a) If you have no preliminary estimate for p, how many medical files should you include in a random sample in order to be 85% sure that the point estimate p will be within a distance of 0.05 from p? (Round your answer up to the nearest whole number.) medical files (b) Answer part (a) if you use the preliminary estimate that about 13 out of 90 people have blood type B. medical files Need Help? Read It Watch It 11. [-/0.2 Points] DETAILS BBUNDERSTAT12 7.3.023.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 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 medical files is used to estimate the proportion p of all people who have blood type B. (a) If you have no preliminary estimate for p, how many medical files should you include in a random sample in order to be 85% sure that the point estimate p will be within a distance of 0.03 from p? (Round your answer up to the nearest whole number.) medical files (b) Answer part (a) if you use the preliminary estimate that about 8 out of 90 people have blood type B. medical files9. [-/0.2 Points] DETAILS BBUNDERSTAT12 7.3.023.EP. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 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 medical files is used to estimate the proportion p of all people who have blood type B. (a) If you have no preliminary estimate for p, how many medical files should you include in a random sample in order to be 85% sure that the point estimate p will be within a distance of 0.03 from p? Find the critical value for 85% confidence level, zo,as and find the specified maximal error of estimate, E. (Round your answers to two decimal places.) Z0.85 = E = Compute the sample size n for estimating the proportion p of all people who have blood type B under these restrictions. (Round your answer up to the nearest whole number.) n = medical files (b) Answer part (a) if you use the preliminary estimate that about 10 out of 90 people have blood type B. (Round your proportions to three decimal places and your sample size up to the nearest whole number.) P 1 - p = n medical files8. [40.2 Points] BBUNDERSTAT12 7.3.016. For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding. Case studies showed that out of 10,222 convicts who escaped from certain prisons, only 7817 were recaptured. (a) Let p represent the proportion of all escaped convicts who will eventually be recaptured. Find a point estimate for p. (Round your answer to four decimal places.) (b) Find a 99% condence interval for p. (Round your answers to three decimal places.) lower limit upper limit Give a brief statement of the meaning of the condence interval. We are 99% condent that the true proportion of recaptured escaped convicts falls within this interval. We are 1% condent that the true proportion of recaptured escaped convicts falls above this interval. We are 99% condent that the true proportion of recaptured escaped convicts falls outside this interval. We are 1% confident that the true proportion of recaptured escaped convicts falls within this interval. (0) Is use of the normal approximation to the binomial justied in this problem? Explain. Yesmp a 5 and no > 5. No; np 5. No; np> 5 and no c 5. Yesmp 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 p is approximately normal. No, the conditions are not satisfied. This is important because it allows us to say that p is approximately binomial. Yes, the conditions are satisfied. This is important because it allows us to say that p is approximately normal. Yes, the conditions are satisfied. This is important because it allows us to say that p is approximately binomial.6. [-/0.2 Points] DETAILS BBUNDERSTAT12 7.3.013.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 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 5,080 permanent dwellings on an entire reservation showed that 1,648 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 all confidence intervals would include the true proportion of traditional hogans. 99% of all confidence intervals 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. 1% of the confidence intervals created using this method would include the true proportion of traditional hogans. () 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 p is approximately normal. Yes, the conditions are satisfied. This is important because it allows us to say that p is approximately normal. No, the conditions are not satisfied. This is important because it allows us to say that p is approximately binomial. Yes, the conditions are satisfied. This is important because it allows us to say that p is approximately binomial.5. [-/0.2 Points] DETAILS BBUNDERSTAT12 7.3.013. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 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 5280 permanent dwellings on an entire reservation showed that 1592 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. 99% of all confidence intervals 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. 1% of all confidence intervals would include the true proportion of traditional hogans. 1% of the confidence intervals created using this method 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. 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 binomial. No, the conditions are not satisfied. This is important because it allows us to say that p is approximately normal. Yes, the conditions are satisfied. This is important because it allows us to say that p is approximately normal.4. [-/0.2 Points] DETAILS BBUNDERSTAT12 7.3.012. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 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 504 judges, it was found that 287 were introverts. (a) Let p represent the proportion of all judges who are introverts. Find a point estimate for p. (Round your answer to four decimal places.) (b) Find a 99% 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. We are 1% confident that the true proportion of judges who are introverts falls above this interval. We are 99% confident that the true proportion of judges who are introverts falls within this interval. We are 99% confident that the true proportion of judges who are introverts falls outside this interval. We are 1% confident that the true proportion of judges who are introverts falls within this interval. (c) Do you think the conditions np > 5 and nq > 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. Yes, the conditions are satisfied. This is important because it allows us to say that p is approximately binomial. Yes, the conditions are satisfied. This is important because it allows us to say that p is approximately normal. No, the conditions are not satisfied. This is important because it allows us to say that p is approximately binomial.3. [-/0.2 Points] DETAILS BBUNDERSTAT12 7.3.011.FB. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 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 61 professional actors, it was found that 39 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.) (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. We are 5% 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 above this interval. We are 95% 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. () Do you think the conditions np > 5 and nq > 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 binomial. Yes, the conditions are satisfied. This is important because it allows us to say that p is approximately normal. 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.2. [-10.2 Points] BBUNDERSTAT12 7.3.011.EP. 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 68 professional actors, it was found that 44 were extroverts. (a) (b) (G) Let p represent the proportion of all actors who are extroverts. Find point estimates for p and q. (Round your answer to four decimal places.) T3) II Q: In Find a 95% condence interval for p. (Round your answers to two decimal places.) Find the maximal margin of error. (Round your answer to two decimal places.) E: Report the bounds from the 95% condence interval for ,0. (Round your answers to two decimal places.) lower limit I I upper limit Give a brief interpretation of the meaning of the condence interval you have found. 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 within this interval. We are 5% confident that the true proportion of actors who are extroverts falls above this interval. We are 95% confident that the true proportion of actors who are extroverts falls within this interval. Do you think the conditions np > 5 and no > 5 are satised in this problem? Explain why this would be an important consideration. No. the conditions are not satised. This is important because it allows us to say that 15 is approximately binomial. Yes, the conditions are satised. This is important because it allows us to say that p\" is approximately normal. Yes, the conditions are satised. This is important because it allows us to say that p\" is approximately binomial. No. the conditions are not satised. This is important because it allows us to say that f) is approximately normal. 1. [40.2 Points] BBUNDERSTAT12 7.3.011. 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) 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% condence 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. We are 95% condent that the true proportion of actors who are extroverts falls oUtside this interval. We are 95% condent that the true proportion of actors who are extroverts falls within this interval. We are 5% condent 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 above this interval. (0) Do you think the conditions rip > 5 and nq > 5 are satised in this problem? Explain why this would be an important consideration. Yes. the conditions are satised. This is important because it allows us to say that p\" is approximately normal. No. the conditions are not satisfied. This is important because it allows us to saythatp' is approximately normal. No. the conditions are not satisfied. This is important because it allows us to say that ft is approximately binomial. Yes, the conditions are satised. This is important because it allows us to say that p\" is approximately binomial