In Knee surgery, Results showed that for tears longer than 25 millimeters, 14 out of 18 repairs were successful, meanwhile for shorter tears, 22 out of 30 repairs were successful in the surgery. (i) If no estimation of the sample proportion for the longer tears that were successful given, what sample size is needed if we are 90% confident that the margin of error can be reduced to 1%? (ii) Calculate a 93% one-sided upper bound confidence interval on the difference in proportion between longer tears and shorter tears that were unsuccessful in the surgery.

In Knee surgery, Results showed that for tears longer than 25 millimeters, 14 out of 18 repairs were successful, meanwhile for shorter tears, 22 out of 30 repairs were successful in the surgery. (i) If no estimation of the sample proportion for the longer tears that were successful given, what sample size is needed if we are 90% confident that the margin of error can be reduced to 1%? (ii) Calculate a 93% one-sided upper bound confidence interval on the difference in proportion between longer tears and shorter tears that were unsuccessful in the surgery.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 58E: What is meant by the sample space of an experiment?

See similar textbooks

Similar questions

How effective is gastric bypass surgery in maintaining weight loss in extremely obese people? A study conducted found that 75% of a random sample of 431 subjects who had received gastric bypass surgery maintained at least a 20% weight loss six years after surgery. (a) Are the conditions for the use of the large sample confidence interval met? YesNo (b) Give a 90% confidence interval for the proportion of those receiving gastric bypass surgery that maintained at least a 20% weight loss six years after surgery. (Round your answers to four decimal places.)? to ?(c) Interpret your interval in the context of the problem. (Round your answers to two decimal places.) Based on this study, we estimate with 90% confidence that between ? % and ? % of all gastric bypass patients will maintain at least a 20% weight loss for six years after surgery.
1. A recent Gallop poll showed that 672 of 1019 adults nationwide think that marijuana should be legalized. a) Find the margin of error that corresponds to a 95% confidence interval. b) Find the 95% confidence interval estimate of the proportion of adults nationwide who think marijuana should be legalized
In a random sample of 50 patients undergoing a standard surgical procedure, 15 required medication for post operative pain. In a random sample of 90 patients undergoing a new procedure, only 16 required pain medication. a)Are conditions met to perform inference onthis study? b)Construct and interpret a 95% confidence interval for the difference in the proportions of patients needing pain medication between the old and new procedures. c) A physician claims that the proportion of patients who need pain medication is the same for both procedures. Does the confidence interval contradict this claim? Why/Why not?
Two types of valves are being tested to determine if there is a difference in pressure tolerances. Fifteen out of a random sample of 100 of Valve A cracked under 4,500 psi. Six out of a random sample of 100 of Valve B cracked under 4,500 psi. Construct the 99% confidence interval for the difference of the two populations proportions.
In the past, 44% of those taking a public accounting qualifying exam have passed the exam on their first try. Lately, the availability of exam preparation books and tutoring sessions may have improved the likelihood of an individual’s passing on his or her first try. In a sample of 250 recent applicants, 130 passed on their first attempt. At the 0.025 level of significance, can we conclude that the proportion passing on the first try has increased? Construct a 95% confidence interval for π and using that interval, can you judge whether the proportion passing on the first try has increased?
1) A survey of 500 non-fatal accidents showed that 122 involved uninsured drivers. Construct a 96% confidence interval for the proportion of fatal accidents that involved uninsured drivers. (Show work) 2) Many people think that a national lobby's successful fight against gun control legislation is reflecting the will of a minority of Americans. A random sample of 4000 citizens yielded 2250 who are in favor of gun control legislation. Estimate the true proportion of all Americans who are in favor of gun control legislation using a 92% confidence interval. Express the answer in the form p^± E. (Show work) 3) A pollster wishes to estimate the number of left-handed scientists. How large a sample is needed in order to be 91% confident that the sample proportion will not differ from the true proportion by more than 4%? A previous study indicates that the proportion of left-handed scientists is 8%. (Show work)
When calculating a confidence interval for one sample with a continuous outcome and the sample contains greater than 30 individuals, then a z-score should be used in place of a t-score. Is that true or false
Michael wants to make a confidence interval estimate for the proportion of community members in favor of a tax increase for more local school funding. If he wants the margin of error to be no more than 0.025 at a 90% confidence level, a) What is the required sample size required to obtain the desired margin of error?