Question

find the p - value for the indicated hypothesis test with the given standardized test statistic, z. decide whether to reject ( h_0 ) for the given level of significance ( alpha ).
two - tailed test with test statistic ( z=-1.60 ) and ( alpha = 0.03 )
( p - value=0.1096 ) (round to four decimal places as needed.)
state your conclusion.
reject ( h_0 )
fail to reject ( h_0 )

Explanation:

Step1: Recall the decision rule

If \(P - value\leq\alpha\), reject \(H_0\). If \(P - value>\alpha\), fail to reject \(H_0\).

Step2: Compare P - value and \(\alpha\)

We are given \(P - value = 0.1096\) and \(\alpha=0.03\). Since \(0.1096>0.03\).

Answer:

Fail to reject \(H_0\)