Consider the following situation.
a right-tailed test with α = 0.1
Find the appropriate rejection regions. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.)
z >
z <
State your conclusion if the observed test statistic was z = 2.17. If appropriate, provide a measure of reliability for your conclusion.
a. The null hypothesis is not rejected.
b. The null hypothesis is rejected at the 0.1% level.
c. The null hypothesis is rejected at the 10% level.
Solution,
This is right tailed test,
α = 0.1
P( z > z ) = 0.1
= 1 - P(Z < z) = 0.1
= P(Z < z) = 1 - 0.1
= P(Z < z ) = 0.9
= P(Z < 1.28 ) = 0.9
z > 1.28
test statistic = z = 2.17
test statistic > critical value
c. The null hypothesis is rejected at the 10% level.
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