Question

the critical boundaries for a hypothesis test are z = + 1.96 and - 1.96. if the z - score for the sample data z = - 1.90, then what is the correct conclusion?
a reject ( h _ { 0 } )
b fail to reject ( h _ { 0 } )
c reject ( h _ { 1 } )
d fail to reject ( h _ { 1 } )

Explanation:

Step1: Understand hypothesis test rules

In a hypothesis test, if the calculated \(Z -\)score is within the critical boundaries (\(-1.96

Step2: Compare the sample \(Z -\)score with critical boundaries

We are given \(Z=-1.90\). Since \(-1.96 < - 1.90<1.96\) (i.e., the sample \(Z -\)score is within the critical boundaries).

Answer:

B. fail to reject \(H_0\)