Question

-12 points BBUnderStat12 7.3.016. My Notes 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 10,239 convicts who escaped from certain prisons, pnly 7676 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% confidence interval for p. (Round your answers to three decimal places.) lower limit upper limit Give a brief statement of the meaning of the confidence interval. O 1% of all confidence intervals would include the true proportion of recaptured escaped convicts. O 1% of the confidence intervals created using this method would include the true proportion of recaptured escaped convicts. О 99% of the confidence intervals created using this method would include the true proportion of recaptured escaped convicts. О 99% of all confidence intervals would include the true proportion of recaptured escaped convicts. (c) is use of the normal approximation to the binomial justified in this problem? Explain. Yes; np < 5 and ng < 5. DO Yes; np > 5 and ng > 5. O No; np < 5 and ng > 5. O No: np > 5 and ng < 5.

Answer 1

Point exmal o i Ca) 0-7497 10229 7676 (b The 99 . Conti dania nterval tor C 7497x6-203 l0239 Lower Ginit = P-(2, lo137 o-7497 O.739 00497+2.S76 97x0-2503 lo 239 Upper Gmit +(24 G-7607 P76 I uterpretation a option3 97. ot Fe Cantidene ntexh yeted Uxi nis aed would i nclude rha trus parton ct recopturd escapedcCauvicts Oophon yes, /