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1) Suppose we to test (H0: η= 4.5 vs. Ha: η<4.5), where η is the population...

1) Suppose we to test (H0: η= 4.5 vs. Ha: η<4.5), where η is the population median. Among n = 10 observations, let S be the number of the measurements which are larger than 4.5. Under H0, S follows a binomial (n= 10, p= 0.5). Which of the following sample results gives the strongest evidence to support Ha?

a. S = 4

b. S = 5

c. S = 6

d. they are same.

2) Follow Problem 1. Suppose S = 1, what is the p-value?

a. 0.0010

b. 0.0107

c. 0.9893

d. 0.9990

Math   Statistics-And-Probability   
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