Question

Assume that the significance level is alpha = 0.01. Use the given information to find the​ P-value and the critical​ value(s). The test statistic of z = -1.74 is obtained when testing the claim that p less than 0.6.

Answer 1

The P-value is 0.04093 and critical value is −2.33.

Explanation:

Given information:

Significance level, α=0.01

Test statistic of z = -1.74

Testing claim is p<0.6.

Null hypothesis :
`H_0:p=0.6`

Alternative hypothesis :
`H_1:p<0.6`

It means it is a left tailed test.

The P-value for a left-tailed test, for a significance level of α=0.01 is 0.04093.

The z-critical value for a left-tailed test, for a significance level of α=0.01 is −2.33.

Therefore the P-value is 0.04093 and critical value is −2.33.