Suppose there is a claim that a certain population has a mean,
μ
, that is different than
5
. You want to test this claim. To do so, you collect a large random sample from the population and perform a hypothesis test at the
0.10
level of significance. To start this test, you write the null hypothesis
H0
and the alternative hypothesis
H1
as follows.
H0
:
μ=5
H1
:
μ≠5
Suppose you also know the following information.
The critical values are
−1.645
and
1.645
(rounded to
3
decimal places).
The value of the test statistic is
2.875
(rounded to
3
decimal places).
(a)Complete the steps below to show the rejection region(s) and the value of the test statistic for this test.