8. [-/2.28 Points] DETAILS BBUNDERSTAT13 7.3.018.S. Case studies showed that out of 10,494 convicts who escaped from certain prisons, only 7,958 were recaptured. USE SALT MY NOTES ASK YOUR TEAC (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% confidence interval for p. (Enter your answer in the form: lower limit to upper limit. Include the word "to." Round your numerical values to three decimal places.) Give a brief statement of the meaning of the confidence interval. We are 1% confident that the true proportion of recaptured escaped convicts falls within this interval. We are 99% confident that the true proportion of recaptured escaped convicts falls outside this interval. We are 99% confident that the true proportion of recaptured escaped convicts falls within this interval. We are 1% confident that the true proportion of recaptured escaped convicts falls above this interval. (c) Is use of the normal approximation to the binomial justified in this problem? Explain. No; np < 5 and ng > 5. No; np 5 and nq < 5. Yes; np 5 and ng > 5. Need Help? Read It