Question

The test statistic of z equals negative 1.37 is obtained when testing the claim that p equals1 divided by 4. a. Using a significance level of alpha equals 0.01​, find the critical​ value(s). b. Should we reject Upper H 0 or should we fail to reject Upper H 0​?

Answer 1

Answer: a) critical value = 0.0853, b) we reject the null hypothesis.

Explanation:

Since we have given that

z = -1.37

And the hypothesis are given below:

`H_0:p=(1)/(4)=0.25\\\\H_1:p\\eq 0.25`

Since α = 0.01

since critical value = 0.0853

As we can see that 0.853 < 0.25.

so, we reject the null hypothesis.

Hence, a) critical value = 0.0853, b) we reject the null hypothesis.