Suppose that the factory claims that the proportion of ball bearings with diameter values less than 2.20 cm in the existing manufacturing process is the same as the proportion in the new process. At alpha=0.05, is there enough evidence that the two proportions are the same? Perform a hypothesis test for the difference between two population proportions to test this claim. Diameters data frame of the first sample (showing only the first five observations) diameters 0 1.90 1 2.33 2 2.50 3 2.33 4 2.47 Diameters data frame of the second sample (showing only the first five observations) diameters 0 1.62 1 3.31 2 2.80 3 2.70 4 1.74 test-statistic = -1.25 two tailed p-value = 0.2113 answer for significance levels 0.1, 0.05, 0.01