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The number of University graduates in a town is estimated to follow a Binomial distribution with...

The number of University graduates in a town is estimated to follow
a Binomial distribution with the probability of success p = 0.6. To
test the null hypothesis a random sample of 15 adults is selected. If
the number of graduates in the sample is between 6 and 12 inclusive,
we shall accept the null hypothesis to be p = 0.6, otherwise we shall
conclude that p 6= 0.6. Use the normal approximation to the binomial
distribution to
(i) Find β = P(type II error) for the alternative p = 0.5
(ii) Find the power of the test for p = 0.5

Question i)

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