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According to genetic theory, if a couple each have the genotype Bb for eye colour (B for brown, b for blue), then the probability they will have a brown eyed child is .75. A random sample of 200 single child families where the parents have genotype Bb revealed 144 brown- eyed children.

(a) Is there sufficient evidence to refute the theory? (a = 0.10)

(b) Use a confidence interval with appropriate level of confidence to conduct the test in (a).

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