Essential Statistics for the Behavioral Sciences
2nd Edition
ISBN: 9781506386300
Author: Gregory J. Privitera
Publisher: SAGE Publications, Inc
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Chapter 8, Problem 17CAP
(a)
To determine
To explain what would the decision be for a hypothesis if the null hypothesis is as shown.
(b)
To determine
To explain what would the decision be for a hypothesis if the null hypothesis is as shown.
(c)
To determine
To explain what would the decision be for a hypothesis if the null hypothesis is as shown.
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53. A certain shop repairs both audio and video compo- nents. Let A denote the event that the next component brought in for repair is an audio component, and let B be the event that the next component is a compact disc player (so the event B is contained in A). Suppose that P(A) = .6 and P(B) = .05. What is P(BA)?
26. A certain system can experience three different types of defects. Let A;(i = 1,2,3) denote the event that the sys- tem has a defect of type i. Suppose thatP(A1) = .12 P(A) = .07 P(A) = .05P(A, U A2) = .13P(A, U A3) = .14P(A2 U A3) = .10P(A, A2 A3) = .011Rshelfa. What is the probability that the system does not havea type 1 defect?b. What is the probability that the system has both type 1 and type 2 defects?c. What is the probability that the system has both type 1 and type 2 defects but not a type 3 defect? d. What is the probability that the system has at most two of these defects?
The following are suggested designs for group sequential studies. Using PROCSEQDESIGN, provide the following for the design O’Brien Fleming and Pocock.• The critical boundary values for each analysis of the data• The expected sample sizes at each interim analysisAssume the standardized Z score method for calculating boundaries.Investigators are evaluating the success rate of a novel drug for treating a certain type ofbacterial wound infection. Since no existing treatment exists, they have planned a one-armstudy. They wish to test whether the success rate of the drug is better than 50%, whichthey have defined as the null success rate. Preliminary testing has estimated the successrate of the drug at 55%. The investigators are eager to get the drug into production andwould like to plan for 9 interim analyses (10 analyzes in total) of the data. Assume thesignificance level is 5% and power is 90%.Besides, draw a combined boundary plot (OBF, POC, and HP)
Chapter 8 Solutions
Essential Statistics for the Behavioral Sciences
Ch. 8 - Prob. 1FPCh. 8 - Prob. 2FPCh. 8 - Prob. 3FPCh. 8 - Prob. 4FPCh. 8 - Prob. 5FPCh. 8 - Prob. 6FPCh. 8 - Prob. 7FPCh. 8 - Prob. 8FPCh. 8 - Prob. 9FPCh. 8 - Prob. 10FP
Ch. 8 - Prob. 11CAPCh. 8 - Prob. 12CAPCh. 8 - Prob. 13CAPCh. 8 - Prob. 14CAPCh. 8 - Prob. 15CAPCh. 8 - Prob. 16CAPCh. 8 - Prob. 17CAPCh. 8 - Prob. 18CAPCh. 8 - Prob. 19CAPCh. 8 - Prob. 20CAPCh. 8 - Prob. 21CAPCh. 8 - Prob. 22CAPCh. 8 - Prob. 23CAPCh. 8 - Prob. 24CAPCh. 8 - Prob. 25CAPCh. 8 - Prob. 26CAPCh. 8 - Prob. 27PRCh. 8 - Prob. 28PRCh. 8 - Prob. 29PRCh. 8 - Prob. 30PRCh. 8 - Prob. 31PRCh. 8 - Prob. 32PR
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