Refer to Exercise 8.S.6.
(a) Compare the habitats using a sign test at α = 0.10. Use a non directional alternative.
(b) Use the binomial formula to calculate the exact P-value for part (a).
Exercise 8.S.6
Biologists noticed that some stream fishes are most often found in pools, which are deep, slow-moving parts of the stream, while others prefer riffles, which are shallow, fast-moving regions. To investigate whether these two habitats support equal levels of diversity (i.e., equal numbers of species), they captured fish at 15 locations along a river. At each location, they recorded the number of species captured in a riffle and the number captured in an adjacent pool. The following table contains the data.31 Construct a 90% confidence interval for the difference in mean diversity between the types of habitats.

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e.3 3 0 4 3 0 4 5 1 1 1 4 1 4 1 57 3334222222313232 0. the 66385267134546441 ati 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5