The two z values are -1.96 and +1.96 this means that option A is the correct choice.
From the given information we know that P(-z<Z or Z>z) = 5% = 0.05.
Then the table (area under the normal curve) the probability of values smaller than a certain z-score of the standard normal distribution.
Now the standard normal distribution is symmetric about 0.
P(-z<Z)=P(-z<Z or Z>z)/2
P(-z<Z)=0.05/2
P(-z<Z)=0.025
Here we have to determine the corresponding z-score in area under the normal curve table.
The corresponding z-score z is then given in row/column title of area under the normal curve table which corresponding to a probability of 0.025 or the probability closest.
-z = -1.96
Two z -values , positive and negative that are equidistance from the mean so that the area in two tailed total 5% are,
= ±1.967 = ±1.96
z=-1.96,+1.96
Therefore, the correct option is A.
To learn more about standard normal distribution check the link below:
https://brainly.com/question/26822684
#SPJ4
