It is often not clear whether all properties of a binomial experiment are actually met
Chapter 14, Problem 14.37(choose chapter or problem)
It is often not clear whether all properties of a binomial experiment are actually met in a given application. A goodness-of-fit test is desirable for such cases. Suppose that an experiment consisting of four trials was repeated 100 times. The number of repetitions on which a given number of successes was obtained is recorded in the accompanying table. Estimate p (assuming that the experiment was binomial), obtain estimates of the expected cell frequencies, and testfor goodness of fit. To determine the appropriate number of degrees of freedom for X2, notice that p had to be estimated. Possible Results Number of Times (number of successes) Obtained 0 11 1 17 2 42 3 21 4 9
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