how do I find this decision rule from a hypothesis test? I have no idea how to g

Question

how do I find this decision rule from a hypothesis test? I have no idea how to get this answer.

If you use a 0.10 level of significance in a (two-tail) hypothesis test, what will you decide if ZSTAT -1.16. Click here to view page 1 of the cumulative standardized normal distribution table Click here to view page 2 of the cumulative standardized normal distribution table Determine the decision rule. Select the correct choice below and fill in the answer box(es) within your choice. Round to three decimal places as needed.) STAT .xB. Reject Ho if ZSTAT

Explanation / Answer

Ans:

Given that

Significance level,alpha=0.1

divide the alpha by 2 and look for z value corresponding to cumulative probabilities alpha/2 and 1-(alpha/2):

alpha/2=0.1/2=0.05

normsinv(0.05)=-1.645

normsinv(0.95)=1.645

So, z cut off values are -1.645 and 1.645

Reject H0,if zSTAT<-1.645 or zSTAT>1.645

Option A is correct.

As,zSTAT=-1.16>-1.645,we fail to reject H0.

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