Find probability-a birth is male


Discussion:

Solve the below problem

Q:Given the number of male births in German families with eight offspring. One model that might be considered for these data is the binomial distribution. This problem requires a goodness-of-fit test.

(a) Estimate pi, the probability that a birth is male. This is done by using the estimate p = (total number of male births/(total number of births).

(b) Compute the X^2 value.

(c) The X^2 distribution lies between chi-square distributions with what degrees of freedom ?

(d) Test the goodness of fit by finding the two critical values of part (c). What can you say about the p-value for the goodness-of-fit test?

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