Explanation Calculation: Step-by-step procedure to generate 200 random samples using the MINITAB software: Click on Calc > Random Data > Binomial Distribution . In Number of rows of data to generate section, enter 200 . In the Store in column , enter column C1 named as Random Numbers . For Number of trails , enter 10 . For Probability , enter 0.6 . Click OK . Output using the MINITAB is given below: Random Numbers 6 4 5 6 5 4 7 7 7 4 4 4 5 6 7 8 7 4 7 3 4 2 5 6 9 7 6 8 7 6 5 6 1 7 7 6 6 8 5 8 4 6 4 5 5 7 7 6 6 4 5 6 6 6 7 9 5 5 7 4 7 7 6 4 5 7 7 8 6 6 7 4 5 7 5 9 4 5 6 3 6 4 4 6 5 4 7 5 7 6 7 7 6 9 4 4 4 5 7 7 6 7 6 5 8 5 7 6 5 7 6 8 8 9 4 7 9 5 6 8 7 6 6 3 5 5 7 4 5 6 7 6 6 9 2 4 7 5 5 5 7 3 7 3 4 4 5 6 4 6 8 5 7 5 7 8 6 5 6 5 4 6 5 6 7 5 6 6 6 6 7 5 6 4 5 2 6 6 4 7 8 6 7 4 9 6 6 7 4 8 7 7 4 5 6 8 5 7 7 5 From the Standard Normal Table, the z value for 90% level is 1.645. The general formula for the confidence interval for the binomial parameter is, p ^ ± z 1 − α 2 p ^ q ^ n The lower bound and upper bound is tabulated below: Random Numbers p ^ q ^ = 1 − p ^ z 1 − α 2 S E = z 1 − α 2 p ^ q ^ n Lower bound Upper bound 6 0.6 0.4 1.645 0.2548 0.3452 0.8548 4 0.4 0.6 1.645 0.2548 0.1452 0.6548 4 0.4 0.6 1.645 0.2548 0.1452 0.6548 5 0.5 0.5 1.645 0.2601 0.2399 0.7601 4 0.4 0.6 1.645 0.2548 0.1452 0.6548 5 0.5 0.5 1.645 0.2601 0.2399 0.7601 7 0.7 0.3 1.645 0.2384 0.4616 0.9384 7 0.7 0.3 1.645 0.2384 0.4616 0.9384 6 0.6 0.4 1.645 0.2548 0.3452 0.8548 7 0.7 0.3 1.645 0.2384 0.4616 0.9384 6 0.6 0.4 1.645 0.2548 0.3452 0.8548 6 0.6 0.4 1.645 0.2548 0.3452 0.8548 7 0.7 0.3 1.645 0.2384 0.4616 0.9384 7 0.7 0.3 1.645 0.2384 0.4616 0.9384 7 0.7 0.3 1.645 0.2384 0.4616 0.9384 8 0.8 0.2 1.645 0.2081 0.5919 1.0081 4 0.4 0.6 1.645 0.2548 0.1452 0.6548 7 0.7 0.3 1.645 0.2384 0.4616 0.9384 8 0.8 0.2 1.645 0.2081 0.5919 1.0081 7 0.7 0.3 1.645 0.2384 0.4616 0.9384 4 0.4 0.6 1.645 0.2548 0.1452 0.6548 4 0.4 0.6 1.645 0.2548 0.1452 0.6548 2 0.2 0.8 1.645 0.2081 -0.0081 0.4081 6 0.6 0.4 1.645 0.2548 0.3452 0.8548 6 0.6 0.4 1.645 0.2548 0.3452 0.8548 6 0.6 0.4 1.645 0.2548 0.3452 0.8548 7 0.7 0.3 1.645 0.2384 0.4616 0.9384 4 0.4 0.6 1.645 0.2548 0.1452 0.6548 4 0.4 0.6 1.645 0.2548 0.1452 0.6548 7 0.7 0.3 1.645 0.2384 0.4616 0.9384 7 0.7 0.3 1.645 0.2384 0.4616 0.9384 8 0.8 0.2 1.645 0.2081 0.5919 1.0081 6 0.6 0.4 1.645 0.2548 0.3452 0.8548 6 0.6 0.4 1.645 0.2548 0.3452 0.8548 3 0.3 0.7 1.645 0.2384 0.0616 0.5384 5 0.5 0.5 1.645 0.2601 0.2399 0.7601 6 0.6 0.4 1.645 0.2548 0.3452 0.8548 5 0.5 0.5 1.645 0.2601 0.2399 0.7601 6 0.6 0.4 1.645 0.2548 0.3452 0.8548 7 0.7 0.3 1.645 0.2384 0.4616 0.9384 5 0.5 0.5 1.645 0.2601 0.2399 0.7601 5 0.5 0.5 1.645 0.2601 0.2399 0.7601 5 0.5 0.5 1.645 0.2601 0.2399 0.7601 1 0.1 0.9 1.645 0.1561 -0.0561 0.2561 4 0.4 0.6 1.645 0.2548 0.1452 0.6548 6 0.6 0.4 1.645 0.2548 0.3452 0.8548 6 0.6 0.4 1.645 0.2548 0.3452 0.8548 5 0.5 0.5 1.645 0.2601 0.2399 0.7601 4 0.4 0.6 1.645 0.2548 0.1452 0.6548 6 0.6 0.4 1.645 0.2548 0.3452 0.8548 6 0.6 0.4 1.645 0.2548 0.3452 0.8548 8 0.8 0.2 1.645 0.2081 0.5919 1.0081 6 0.6 0.4 1.645 0.2548 0.3452 0.8548 6 0.6 0.4 1.645 0.2548 0.3452 0.8548 7 0.7 0.3 1.645 0.2384 0.4616 0.9384 7 0.7 0.3 1.645 0.2384 0.4616 0.9384 5 0.5 0.5 1.645 0.2601 0.2399 0.7601 6 0.6 0.4 1.645 0.2548 0.3452 0.8548 7 0.7 0.3 1.645 0.2384 0.4616 0.9384 4 0.4 0.6 1.645 0.2548 0.1452 0.6548 6 0.6 0.4 1.645 0.2548 0.3452 0.8548 6 0.6 0.4 1.645 0.2548 0.3452 0.8548 6 0.6 0.4 1.645 0.2548 0.3452 0.8548 7 0.7 0.3 1.645 0.2384 0.4616 0.9384 5 0.5 0.5 1.645 0.2601 0.2399 0.7601 6 0.6 0.4 1.645 0.2548 0.3452 0.8548 4 0.4 0.6 1.645 0.2548 0.1452 0.6548 7 0.7 0.3 1.645 0.2384 0.4616 0.9384 6 0.6 0.4 1.645 0.2548 0.3452 0.8548 9 0.9 0.1 1.645 0.1561 0.7439 1.0561 5 0.5 0.5 1.645 0.2601 0.2399 0.7601 9 0.9 0.1 1.645 0.1561 0.7439 1.0561 3 0.3 0.7 1.645 0.2384 0.0616 0.5384 9 0.9 0.1 1.645 0.1561 0.7439 1.0561 3 0.3 0.7 1.645 0.2384 0.0616 0.5384 5 0.5 0.5 1.645 0.2601 0.2399 0.7601 6 0.6 0.4 1.645 0.2548 0.3452 0.8548 4 0.4 0.6 1.645 0.2548 0.1452 0.6548 4 0.4 0.6 1.645 0.2548 0.1452 0.6548 5 0.5 0.5 1.645 0.2601 0.2399 0.7601 5 0.5 0.5 1.645 0.2601 0.2399 0.7601 7 0.7 0.3 1.645 0.2384 0.4616 0

8th Edition

ISBN: 9781305268920

Author: Bernard Rosner

Publisher: Cengage Learning

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Chapter 6, Problem 90P

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Check whether the large-sample binomial confidence limit formula is adequate for the given distribution.

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Chapter 6, Problem 89P

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Chapter 6 Solutions

Fundamentals of Biostatistics

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