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In: Statistics and Probability

It should be tested whether a cube is fair or not. This tells how many times...

It should be tested whether a cube is fair or not. This tells how many times the number 1 appears.

With a sample, a dice is thrown 720 times and it showed number one 95 times. The null hypothesis is Ho:p =1/6. Probability of error is specified α=0.05

a)Approximate the binomial distribution according to Moivre-Laplace by normal distribution (without correction ).

b) derive a formula for the rejected area or accepted area.

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