A pharmaceutical company claims 90% success rate of a newly invented drug to treatarthritis pain. To examine the claim, a doctor administered the prescribed dose to 10arthritis patients. She observed Y, the number of participants for which the drug waseffective. A test is defined so as to reject Ho: p = 0.9 in favour of Ha: p < 0.9 bythe rejection region {y < k} where k is a positive integer. Note that p is the populationproportion of arthritis patients for which the drug was effective.(a) State what is meant by Type I and Type II errors in this context.(b) Find the value of a, the level of the test, if k = 6.(c) For a = 0.05, what should be the value of k if the rejection region of the test is{y

A pharmaceutical company claims 90% success rate of a newly invented drug to treat arthritis pain. To examine the claim, a doctor administered the prescribed dose to 10 arthritis patients. She observed Y, the number of participants for which the drug was effective. A test is defined so as to reject Ho: p = 0.9 in favour of Ha: p< 0.9 by the rejection region {y

A pharmaceutical company claims 90% success rate of a newly invented drug to treat arthritis pain. To examine the claim, a doctor administered the prescribed dose to 10 arthritis patients. She observed Y, the number of participants for which the drug was effective. A test is defined so as to reject Ho: p = 0.9 in favour of Ha: p< 0.9 by the rejection region {y

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A study of parental empathy for sensitivity cues and baby temperament (higher scores mean more empathy) was performed. Let x, be a random variable that represents the score of a mother on an empathy test (as regards her baby). Let x, be the empathy = 68.36. Another random sample of 31 fathers gave score of a father. A random sample of 37 mothers gave a sample mean of x, X, = 60.06. Assume that o, = 11.55 and o, = 11.45. (a) Let u, be the population mean of x, and let u, be the population mean of x,. Find a 99% confidence interval for u, - Hz. (Round your answers to two decimal places.) lower limit upper limit (b) Examine the confidence interval and explain what it means in the context of this problem. Does the confidence interval contain all positive, all negative, or both positive and negative numbers? What does this tell you about the relationship between average empathy scores for mothers compared with those for fathers at the 99% confidence level? Because the interval contains only…
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