As part of a study conducted in France investigating the effectiveness of the drug mifepristone (RU 486) for terminating early pregnancy, 488 women were administered mifepristone followed 48 hours later by a single dose of a second drug, misoprostol. In 473 of these women, the pregnancy was terminated and the conceptus completely expelled. (a) Construct a 95% confidence interval for the true population proportion p. (b) Calculate a 90% confidence interval for p. (c) How does the 90% confidence interval compare to the 95% interval?
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As part of a study conducted in France investigating the effectiveness of the drug mifepristone
(RU 486) for terminating early pregnancy, 488 women were administered mifepristone followed 48
hours later by a single dose of a second drug, misoprostol. In 473 of these women, the pregnancy
was terminated and the conceptus completely expelled.
(a) Construct a 95% confidence interval for the true population proportion p.
(b) Calculate a 90% confidence interval for p.
(c) How does the 90% confidence interval compare to the 95% interval?
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- In a study designed to assess the side effects of two drugs, 50 animals were given drug A, and 50 animals were given Drug B. Of the 50 receiving Drug A, 11 showed undesirable side effects, while 8 of those receiving Drug B reacted similarly. Find the 98% confidence interval for the true difference in population proportions, pˆ A − pˆ B.A study of 420,082 cell phone users found that 136 of them developed cancer of the brain or nervous system. Prior to this study of cell phone use, the rate of such cancer was found to be 0.0415% for those not using cell phones. Complete parts (a) and (b). a. Use the sample data to construct a 90% confidence interval estimate of the percentage of cell phone users who develop cancer of the brain or nervous system. %Elwin Osbourne, CIO at GFS, Inc., is studying employee use of GFS e-mail for non-business communications. A random sample of 200 e-mail messages was selected. Thirty of the messages were not business related. The 90% confidence interval for the population proportion is 0.10847 to 0.19153 0.15300 to 0.24700 0.09126 to 0.20874 0.14521 to 0.25514 0.25514 to 0.26521For a study on the current trend in the design of social robots, researchers obtained a random sample of 103 social robots through a Web search and determined that 63 were designed with legs, but no wheels. Complete parts a and b. a. Find a 90% confidence interval for the proportion of all social robots designed with legs, but no wheels. Interpret the result.A college alumni Organization sent a survey to all recent graduates to ask their annual income. 20% of the alumni responded, and their mean annual income was $40,000 with a standard deviation of $10,000. Explain why these data should not be used to construct a confidence interval for the mean annual income of all recent graduates.You work for a company that produces electronics with integrated circuits. One of your products is called a "shift register." This product is designed to automatically shut down if its operating temperature exceeds 175 degrees Celsius. The manufacturing process has been designed to have a standard deviation of o = 0.4 degrees Celsius. You test a random sample 16 shift registers, and you record the following shut- down temperatures. Construct a 80% confidence interval for the overall mean shutdown-temperature. 174.99 174.76 174.99 174.61 174.86 174.41 175.54 174.13 174.96 174.78 174.84 174.67 174.87 175.52 174.88 175.35 (Checksum: 2798.16) a) Find the critical value and ₂. Critical Value: σz: b) Find the confidence interval:When computing the variance using a sample of size n = 30, we divide the sum of squared deviations by Give your answer as a whole number.In a randomised clinical trial to evaluate antibiotic treatment for possible occuit bacteremia, 500 children with fever were randomly assigned to the antibiotic or the placebo so that there were 250 in each group. Blood samples were cultured 48 hours after commencing therapy. The authors reported the proportions of children with major infectious morbidity were 13% in the placebo group and 10% in the antibiotic group. The 95% confidence interval for the difference in proportions was -2.6% to +8.6%. Choose the 95% confidence interval for the odds ratio that is most likely for these data if further analysis comparing the odds of major infectious morbidity in the treated group with the odds in the placebo group was conducted. O -0.423 to 1.275 O 0.423 to 1.275 O 0.423 to 0.875 O 1.275 to 1.423A study of 420,031 cell phone users found that 136 of them developed cancer of the brain or nervous system. Prior to this study of cell phone use, the rate of such cancer was found to be 0.0316% for those not using cell phones. Complete parts (a) and (b). a. Use the sample data to construct a 90% confidence interval estimate of the percentage of cell phone users who develop cancer of the brain or nervous system. %A. True or False? A researcher compares the BMI of two populations of individuals from different socioeconomic backgrounds and finds that the proportion of individuals considered obese and from a poor background is .37 (n = 112), and the proportion of individuals considered obese and from an affluent background is .27 (n = 87); a 95% confidence interval for the risk difference for obesity among members of the poor population compared to the affluent population is (-0.03, 0.23). B. Why is it true or false?A study compared tooth health and periodontal damage in a group of 40 young adult males with a tongue piercing and a control group of 50 young adult males without tongue piercing. Here are the summary statistics: Group Sample size Mean of enamel cracks StDev of enamel cracks Tongue piercing 40 4.1 3.7 No Tongue piercing 50 1.3 1.6 For the Tongue Piercing Group, find a 95% confidence interval for the mean of enamel cracks of young adult males with a tongue piercing. Interpret your interval with the context. Which method will you use here to find you interval? 1-sample T interval 2-sample T interval 2-sample Z test. 2-proportion Z test Interpret your interval with the context.A study of 420,039 cell phone users found that 131 of them developed cancer of the brain or nervous system. Prior to this study of cell phone use, the rate of such cancer was found to be 0.0443% for those not using cell phones. Complete parts (a) and (b). ..... a. 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