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In medical investigations, the ratio - 1 is often of more interest than the difference p, - o, (e.a., individuals glven treatment 1 are how many times as likely to recover as those given treatment 27). Let ô - 1. when m and n are both large, the statistic In(e) has approdmately a normal P2 1/2 m-x.n-y. ny distribution with approximate mean value in(e) and approxámate standard deviation (a) Use these facts to obtain a large-sample 95% Ci formula for estimating In(6). (Use the appropriate z critical value in your equations.) -1.96 1.96 -1.96 In(@)e In(e)e m-X-Y 1.96 V mx O(i - 1.96 m-X.- Y ny ny m-X V mx (Into) - 1.96 -Y Inte) - 1.96 my ny m-x ny Use the above to obtain a large-sample 95% CI formula for estimating for e itself. -1.96 1.96 1.96 O Inta)e -1.96 , Inçôe (i- m-xn-M m -x O- 1.96 ệ+ 1.96 mx ny ny Inte) - 1.96 m-x-y Int) - V mx m-x + 1.90 mx ny ny (b) An article reported that heart attack risk could be reduced by taking aspirin. This condusion was based on a designed experiment involving both a control group of individuals that took a placebo having the appearance of aspirin but known to be inert and a treatment group that took aspirin according to a specified regimen. Subjects were randomly assigned to the groups to protect against any biases and so that probabillity-based methods could be used to analyze the data. Of the 11,094 individuals in the control oroup, 189 subsequently experienced heart attacks, whereas only 104 of the 11,097 in the aspirin group had a heart attack. Calculate an interval of plausible values for e at the 95% confidence level. (Use p, for the control group and p, for the aspirin treatment group. Round your answers to four decimal places.)

In medical investigations, the ratio - 1 is often of more interest than the difference p, - o, (e.a., individuals glven treatment 1 are how many times as likely to recover as those given treatment 27). Let ô - 1. when m and n are both large, the statistic In(e) has approdmately a normal P2 1/2 m-x.n-y. ny distribution with approximate mean value in(e) and approxámate standard deviation (a) Use these facts to obtain a large-sample 95% Ci formula for estimating In(6). (Use the appropriate z critical value in your equations.) -1.96 1.96 -1.96 In(@)e In(e)e m-X-Y 1.96 V mx O(i - 1.96 m-X.- Y ny ny m-X V mx (Into) - 1.96 -Y Inte) - 1.96 my ny m-x ny Use the above to obtain a large-sample 95% CI formula for estimating for e itself. -1.96 1.96 1.96 O Inta)e -1.96 , Inçôe (i- m-xn-M m -x O- 1.96 ệ+ 1.96 mx ny ny Inte) - 1.96 m-x-y Int) - V mx m-x + 1.90 mx ny ny (b) An article reported that heart attack risk could be reduced by taking aspirin. This condusion was based on a designed experiment involving both a control group of individuals that took a placebo having the appearance of aspirin but known to be inert and a treatment group that took aspirin according to a specified regimen. Subjects were randomly assigned to the groups to protect against any biases and so that probabillity-based methods could be used to analyze the data. Of the 11,094 individuals in the control oroup, 189 subsequently experienced heart attacks, whereas only 104 of the 11,097 in the aspirin group had a heart attack. Calculate an interval of plausible values for e at the 95% confidence level. (Use p, for the control group and p, for the aspirin treatment group. Round your answers to four decimal places.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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In medical investigations, the ratio e - "1 is often of more interest than the difference p, - o, (e.g., individuals given treatment 1l are how many times as likely to recover as those given treatment 27). Let ô - 1. when m and n are both large, the statistic In(8) has approximately a normal P2 P2 1/2 distribution with approximate mean value In(e) and approximate standard deviation M-X + mx ny n-y (a) Use these facts to obtain a large-sample 95% CI formula for estimating In(6). (Use the appropriate z critical value in your equations.) m-, n-y -1.96 1.96 ny ny -1.96 1.96 O In(êje ny ny m - * +-Y V mx m- x 6 + 1.96 ny Ole- 1.96 ny m-X + Y. Inte) + 1.96 mx (Intê) - 1.96 m -xn- y ny ny Use the above to obtain a large-sample 95% CI formula for estimating for e itself. -1.36 mx 1.96 Be ny ny m -, ny -1.96 1.96, O Intâje , Intôje ny ny m -x -Y V n- y (ô - 1.90 m- X +- + 1.96 V mx n-y ny ny (Inça) - 1.96 m-X +-Y In(@) + 1.9 V mx m-x + 1.96 ny V mx ny (b) An article reported that heart attack risk could be reduced by taking aspirin. This conclusion was based on a designed experiment involving both a control group of individuals that took a placebo having the appearance of aspirin but known to be inert and a treatment group that took aspirin according to a specifled regimen. Subjects were randomly assigned to the groups to protect against any blases and so that probability-based methods could be used to analyze the data. Of the 11,094 Individuals in the control group, 189 subsequently experienced heart attacks, whereas only 104 of the 11,097 in the aspirin group had a heart attack. Calculate an interval of plausible values for e at the 95% confidence level. (Use p, for the control group and p, for the aspirin treatment group. Round your answers to four decimal places.)
Transcribed Image Text:In medical investigations, the ratio e - "1 is often of more interest than the difference p, - o, (e.g., individuals given treatment 1l are how many times as likely to recover as those given treatment 27). Let ô - 1. when m and n are both large, the statistic In(8) has approximately a normal P2 P2 1/2 distribution with approximate mean value In(e) and approximate standard deviation M-X + mx ny n-y (a) Use these facts to obtain a large-sample 95% CI formula for estimating In(6). (Use the appropriate z critical value in your equations.) m-, n-y -1.96 1.96 ny ny -1.96 1.96 O In(êje ny ny m - * +-Y V mx m- x 6 + 1.96 ny Ole- 1.96 ny m-X + Y. Inte) + 1.96 mx (Intê) - 1.96 m -xn- y ny ny Use the above to obtain a large-sample 95% CI formula for estimating for e itself. -1.36 mx 1.96 Be ny ny m -, ny -1.96 1.96, O Intâje , Intôje ny ny m -x -Y V n- y (ô - 1.90 m- X +- + 1.96 V mx n-y ny ny (Inça) - 1.96 m-X +-Y In(@) + 1.9 V mx m-x + 1.96 ny V mx ny (b) An article reported that heart attack risk could be reduced by taking aspirin. This conclusion was based on a designed experiment involving both a control group of individuals that took a placebo having the appearance of aspirin but known to be inert and a treatment group that took aspirin according to a specifled regimen. Subjects were randomly assigned to the groups to protect against any blases and so that probability-based methods could be used to analyze the data. Of the 11,094 Individuals in the control group, 189 subsequently experienced heart attacks, whereas only 104 of the 11,097 in the aspirin group had a heart attack. Calculate an interval of plausible values for e at the 95% confidence level. (Use p, for the control group and p, for the aspirin treatment group. Round your answers to four decimal places.)
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