Question

g In a one-tail hypothesis test where you reject H0 only in the lower tail, what is the p-value if Z STAT

Answer 1

The P-value is 0.0166.

Explanation:

The complete question is: In a​ one-tail hypothesis test where you reject H0 only in the lower ​tail, what is the p-value if ZSTAT = -2.13.

We are given that the z-statistics value is -2.13 and we have to find the p-value.

Now, the p-value of the test statistics is given by the following condition;

P-value = P(Z < -2.13) = 1 - P(Z
`\leq` 2.13)

= 1 - 0.9834 = 0.0166

Assuming that the level of significance is 0.10 or 10%.

The decision rule for rejecting the null hypothesis based on p-value is given by;

• If the P-value of the test statistics is less than the level of significance, then we have sufficient evidence to reject the null hypothesis.

• If the P-value of the test statistics is more than the level of significance, then we have insufficient evidence to reject the null hypothesis.

Here, the P-value is more than the level of significance as 0.0166 > 0.10, so we have insufficient evidence to reject the null hypothesis, so we fail to reject the null hypothesis.