Question

Assume that the significance level is a=0.05. Use the given information to find the P-value and the critical value(s). The test statistic of z=1.34 is obtained when testing the claim that p> 0.1

A) P-value= ??

B) The critical value(s) is/are z= ????

Answer 1

The required P value is 0.0901.

The critical value for the test statistic is 1.645.

Explanation:

Consider the provided information.

The test statistic of z=1.34 is obtained when testing the claim that p> 0.1

It is given given that z=1.34 as the claim has greater than inequality so it is a right tailed test.

Part (A) P-value

`P\ value=1-P(Z\leq z)\\P\ value=1-P(Z\leq 1.34)`

From the Standard normal distribution table
`P(Z\leq 1.34) =0.9099`.

Therefore,

`P\ value=1-0.9099=0.0901`

Hence, the required P value is 0.0901.

Part (B) The critical value(s) is/are z=

It is given that the significance level is α=0.05

Using standard z value table we get the critical value for the test statistic is 1.645.

Hence, the critical value for the test statistic is 1.645.