Consider the following. (Give your answers correct to four decimal places.)
(a) Determine the level of confidence given the confidence coefficient z(á/2) for z(á/2) = 1.65.
Incorrect: Your answer is incorrect. . 0.90 is what I got and it was wrong, I have several like this if someone could work this one I could use as example. Thanks in advance.
za/2 = 1.645
It gave us the number 1.65
To determine the level of confidence given the confidence coefficient z(α/2) = 1.65, we need to use the standard normal distribution table.
Step 1: Calculate α/2
For a two-tailed test, we need to find the area in each tail separately. Since the confidence coefficient is given as z(α/2), we need to find the value of α/2. In this case, α/2 = 1.65.
Step 2: Look up the area in the standard normal distribution table
The z-score in the standard normal distribution table represents the area to the left of that z-score. However, we need to find the area in the tails of the distribution, which is α/2. Look for the closest value to 1.65 in the table and record the corresponding area.
Step 3: Calculate the level of confidence
Since the standard normal distribution is symmetric, the area in each tail is the same. To find the level of confidence, we need to double the area in one tail (α/2) to account for both tails.
Confidence level = 2 * (area in one tail) = 2 * (α/2)
For a given z(α/2) = 1.65, the level of confidence will be determined by the corresponding area in the standard normal distribution table. Double this area to find the level of confidence.
If you provide the area corresponding to z(α/2) = 1.65 from the standard normal distribution table, I can help you calculate the level of confidence.