(2 points) (a) Find the size of each of two samples (assume that they are of equal size) needed to estimate the differen

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(2 points) (a) Find the size of each of two samples (assume that
they are of equal size) needed to estimate the difference between
the proportions of boys and girls under 10 years old who are afraid
of spiders. Assume the "worst case" scenario for the value of both
sample proportions. We want a 99% confidence level and for the
error to be smaller than 0.08.
(b) Again find the sample size required, as in part (a), but
with the knowledge that a similar student last year found that the
proportion of boys afraid of spiders is 0.4 and the proportion of
girls afraid of spiders was 0.89.