In an experiment to test whether final digits of telephone numbers are random, a random sample of 40 digits is selected from a large telephone directory. The hypothesis of randomness will be accepted if there are at least 17 but not more than 22 even digits in the sample, and rejected otherwise. Using a suitable approximation, find the probability of a Type I error. A friend of yours claims that in fact more telephone numbers are odd than even. How would you check whether this is true, using a 5% test based on a random sample of size 50?

In an experiment to test whether final digits of telephone numbers are random, a random sample of 40 digits is selected from a large telephone directory. The hypothesis of randomness will be accepted if there are at least 17 but not more than 22 even digits in the sample, and rejected otherwise. Using a suitable approximation, find the probability of a Type I error. A friend of yours claims that in fact more telephone numbers are odd than even. How would you check whether this is true, using a 5% test based on a random sample of size 50?

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section9.3: Binomial Probability

Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...

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