The expected payoff on April 24, 1980. If the number game costs $1 per “number” and $500 is the payoff of the winning ticket, the winning number on April 24, 1980 was 666 and it was discovered that the drawing on April 24 was fixed such that balls except those with 4 and 6 were altered such that the winning number contains only those digits.

Question

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)

Answer 1

Question

Chapter 8.3, Problem 34E

(a)

To determine

To calculate: The expected payoff on April 24, 1980. If the number game costs $1 per “number” and $500 is the payoff of the winning ticket, the winning number on April 24, 1980 was 666 and it was discovered that the drawing on April 24 was fixed such that balls except those with 4 and 6 were altered such that the winning number contains only those digits.

(b)

To determine

To calculate: The expected payoff on a day when lottery is not fixed. If the number game costs $1 per “number” and $500 is the payoff of the winning ticket, the winning number on April 24, 1980 was 666 and it was discovered that the drawing on April 24 was fixed such that balls except those with 4 and 6 were altered such that the winning number contains only those digits.

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