How do you find the p-value of a two tailed test when z = 1.95?

To find the p-value of a two-tailed test when ( z = 1.95 ), you can use a standard normal distribution table or a statistical software package.

For a two-tailed test, the p-value is the probability of observing a z-score more extreme than ( |z| = 1.95 ). Since the test is two-tailed, we look for both the area to the right of ( z = 1.95 ) and the area to the left of ( z = -1.95 ) on the standard normal distribution curve.

Using a standard normal distribution table or software, you would find the probabilities associated with these z-scores.

Then, you sum the probabilities of both tails to get the p-value:

[ \text{p-value} = \text{Area to the right of } z = 1.95 + \text{Area to the left of } z = -1.95 ]

The p-value represents the probability of observing a result as extreme as, or more extreme than, the observed result under the null hypothesis. It helps in determining the significance of the observed data in relation to the null hypothesis.