# Determine the p-value for each of the following hypothesis-testing situations:

Determine the p-value for each of the following hypothesis-testing situations:

a. *H*_{0}: *p* = 0.25 and *H*_{a}: *p* ¹ 0.25; z test value = 1.84

b. *H*_{0}: *m* ³ 13.5 and *H*_{a}: *m* < 13.5; t test value = -1.94 *d.f.* = 10

**Solution: **(a) This is a two-tailed z-test, so the p-value is computed as

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(b) This is a lower-tailed t-test, so we have

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