The data given in the previous problem may be 1,334 independent observations from a Bin(7, p) distribution If so, use the defining assumptions of the binomial distribution to show that this is the same as one observation from a Bin(1334 7, p) distribution Estimate p with p Total number of boys Total number of trials Repeat the previous problem, replacing 5 with p Compare X2 to a 2(6) distribution, reducing the degrees of freedom by one because the probability p is being estimated from the data

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Question: The data given in the previous problem may be 1,334 independent observations from a Bin(7, p) distribution. If so, use the defining assumptions of the

The data given in the previous problem may be 1,334 independent observations from a Bin(7, p) distribution. If so, use the defining assumptions of the binomial distribution to show that this is the same as one observation from a Bin(1334 × 7, p) distribution. Estimate p with pˆ = Total number of boys Total number of trials .

Repeat the previous problem, replacing .5 with ˆp. Compare X2 to a χ2(6)

distribution, reducing the degrees of freedom by one because the probability p is being estimated from the data.

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