The width values in the Crabs data file have a mean of 26.3 and standard deviation of 2.1. If the true relationship is the fitted equation reported in Section 4.1.3, logit[π(x)] = −12.351 + 0.497x, about how large a sample yields P(Type II error) = 0.10 in an α = 0.05-level test of H0: β = 0 against Ha: β > 0? What assumption does this result require?