Question

The test statistic of z equals negative 1.89 is obtained when testing the claim that p less than0.14. a. Using a significance level of alpha equals0.10​, find the critical​ value(s). b. Should we reject Upper H 0 or should we fail to reject Upper H 0​?

Answer 1

Part a

We are given

Test is lower tailed test.

α = 0.10

So, critical z value by using z-table or excel is given as below:

Critical Z value = -1.28155

Part b

We have

Critical Z value = -1.28155

Test statistic Z value = -1.89

Test statistic < Critical value

So, we reject the null hypothesis H0.