Consider again the data in Exercise 2, but suppose that we can only distinguish cells with no molecules from those with at least one. Find how many cells are in each of these two categories and compare with the appropriate extrinsic hypothesis. Why might the test give a different result than with the unpooled data?
Suppose that the number N of molecules of toxin left in a cell after 10.0 min is thought to follow the probability distribution with Pr(N = 0) = 0.4, Pr(N = 1) = 0.3, Pr(N = 2) = 0.2, and Pr(N = 3) = 0.1 (as in Example 6.3.11). Test whether the following data fit the expectation from this extrinsic hypothesis.
Exercise 2
There are 25 cells with no molecules, 21 with one molecule, 19 with two molecules, and 15 with three molecules.