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Question: An experiment is run that is claimed to have a binomial distribution with p = 0.15 and n = 18 and the number of successes is recorded. The experiment is conducted 200 times with the following results:

Number of Seccesses        0         1          2         3          4         5

Obeserved frequency       80        75        39        6          0         0

Using a significance level of 0.01, is there sufficient evidence to conclude that the distribution is binomially distributed with p = 0.15 and n = 18?

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