11. [-14 Points] DETAILS MENDSTAT1 4 8.E.l]66. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Last year's records of auto accidents occurring on a given section of highway were classied according to whether the resulting damage was $1,000 or more and to whether a physical injury resulted from the accident. The data follows. Under $1,000 $1,000 or More Number of Accidents 32 43 Number Involving Injuries 9 25 (a) Esu'mate the true proportion of accidents involving injuries when the damage was $1,000 or more for similar sections of highway. (Round your answer to three decimal places.) |:| Find the 95% margin of error. (Round your answer to three decimal places.) |:| (b) Estimate the true difference in the proportion of accidents involving injuries for accidents with damage under $1,000 and those with damage of $1,000 or more. Use a 95% condence interval. (Use p1 p2 where ,01 is the proportion of accidents involving injuries with damage under $1,000 and ,02 is the proportion of accidents involving injuries with damage of $1,000 or more. Round your answers to three decimal places.) |:|to|:| You may need to use the appropriate appendix table or technology to answer this question. 12. [-12 Points] DETAILS MENDSTAT14 3.E.069. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Independent Iandom samples of size ?0 are drawn from two quantitative populatlons, producing the sample information in the table. Sample 1 Sample 2 Sample Size ?0 1'0 Sample Mean 15 8 Sample Standard Deviation 5 6 Find a 95% upper condence bound for the difference in the two population means (#1 #2). [Round your answer to two decimal places.) |:| You may need to use the appropriate appendix table or technology to answer this question. 13. [12 Points] DETAILS MENDSTAT1 4 8.E.072. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Independent random samples of n] = n2 = n observations are to be selected from each of two populations 1 and 2. If you wish to estimate the difference between the two population means correct to within 0.19, with probability equal to 0.90, how large should :11 and n2 be? Assume that you know 012 z 022 a 227. [Round your answer up to the nearest whole number.) You may need to use the appropriate appendix table or technology to answer this