The proportion p of the customers entering a showroom for stereo equipment. Suppose 36 customers enter the showroom tomorrow.
a. For p = .3, find the approximate probability that at least 15 make purchases.
b. Suppose out of 40 customers entered the showroom, we observe that 15 make the purchase. Is there enough evidence to reject the hypothesis that H 0 : p = .3 versus H a : p > .3. Use level of significance α = .05.
c. Find a 99% confidence interval for sample proportion p.
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