In a 10,000 Monte Carlo trial experiment involving point sets where one point set was moved closer to the other point set, 4319 trials had a closest point distance greater than or equal to .005513. Hence the misdetect rate is .4319. The power of the test is one minus the misdetect rate. So the power of the test is .5681. If the Alternative hypothesis is true, only 56.81% of the time will this test reject the Null hypothesis. This test is not a good test.

Histogram of the closest point distances from 10,000 Monte Carlo trials where one point set is moved closer to the other point set.

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