Beatriz takes a simple random sample of 350350350 orders from the more than 500050005000 total orders to her store and finds that 12\%12%12, percent of the sampled orders were returned. Assuming that it is really 9\%9%9, percent of all orders to her store which were returned, what is the approximate probability that more than 12\%12%12, percent of the sampled orders would have been returned?

(b) suppose that consolidated power decides to use a level of significance of α = .05, and suppose a random sample of 100 temperature readings is obtained. if the sample mean of the 100 temperature readings is x⎯⎯ = 60.990, test h0 versus ha and determine whether the power plant should be shut down and the cooling system repaired. perform the hypothesis test by using a critical value and a p-value. assume σ = 5. (round your z to 2 decimal places and p-value to 4 decimal places.)