For the hypothesis test H0 10 against H1 10 and variance kn

For the hypothesis test H0: = 10 against H1: >10 and variance known, calculate the Pvalue for each of the following test statistics.

(a) z0 = 2.05 (b) z0 = 1.84 (c) z0 = 0.4

Solution

As H1 uses > , then it is a right tailed test.

Thus, getting the right tailed area of the z scores using table/technology,

a)

P(z > 2.05) = 0.020182215 [ANSWER]

**************

b)

P(z > -1.84) = 0.967115881 [ANSWER]

******************

c)

P(z > 0.4) = 0.344578258 [ANSWER]