Find the critical value za/2 that corresponds to the given confidence level.
96%
za/2=
2.05
To find the critical value za/2 for a given confidence level, you can use a standard normal distribution table or a calculator.
For a 96% confidence level, we need to find the value of za/2 such that the area to the right of za/2 (in the upper tail) is 0.04. Since the distribution is symmetric, the area to the left of za/2 (in the lower tail) is also 0.04.
Using a standard normal distribution table, we can look up the closest value to 0.04 or 0.96 (1 - 0.04). The closest value is 0.9599, which corresponds to a z-score of approximately 1.75.
Therefore, the critical value za/2 for a 96% confidence level is approximately 1.75.
To find the critical value za/2 that corresponds to a given confidence level, you can use a standard normal distribution table or a calculator such as a z-table.
For a confidence level of 96%, we need to find the area in the tails that is not included.
Since the total area under the standard normal curve is 1, and we want a confidence level of 96%, the remaining area in the tails is (100% - 96%) = 4%.
Since the area is divided equally into the two tails, each tail has an area of 4%/2 = 2%.
Now, we need to find the z-value that corresponds to an area of 2% in the tail.
Using a standard normal distribution table or a z-table, find the z-value that corresponds to an area of 0.02 in the right tail (since we are looking for a critical value in the right tail).
The z-value you find will be the critical value za/2 that corresponds to the given confidence level.
Please note that the z-value may vary depending on the level of precision required and the specific table or calculator used.