Question

Using the z table, find the critical value for a=0.024 in a left tailed test

Answer 1

Answer:

Critical value is -1.98.

Step-by-step explanation:

Given:

The value of alpha is, $\alpha=0.024$

Now, in order to find the critical value, we need to subtract alpha from 1 and then look at the z-score table to find the respective 'z' value for the above result.

The probability of critical value is given as:

$P(critical)=1-\alpha=1-0.024=0.976$

So, from the z-score table, the value of z-score for probability 0.976 is 1.98.

Now, in a left tailed test, we multiply the z value by negative 1 to arrive at the final answer. We do so because the area to the left of mean in a normal distribution curve is negative.

So, the z-score for critical value 0.024 in a left tailed test is -1.98.