Alpha level are pertained to confidence levels: to discover alpha, just subtract the confidence interval from 100%. For example, the alpha level because that a 90% to trust level is 100% – 90% = 10%.
To find alpha/2, divide the alpha level through 2. For example, if you have actually a 10% alpha level then alpha/2 is 5%.
You are watching: Compute the critical value za 2
How to uncover z α/2
You have three main options:Use recognized values because that z alpha/2.Use a z-table.Use the TI-83/84.
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1. (Easiest Way) Use well-known values for z alpha/2.
You don’t actually need to look increase z alpha/2 in a z-table every time. For many hypothesis tests, you’ll most likely be making use of one of 4 confidence levels (90%, 95%, 98% and also 99%). The z alpha/2 because that each confidence level is always the same:
Note: This step relies on using the right-hand z-table ~ above this site. Over there are several different possible z-table layouts, so girlfriend may acquire a different answer if you use a various z-table. I would suggest using the very same z-table when learning just how to look increase areas/z-scores until you acquire the cave of it…then girlfriend should be able to use any type of z-table friend come across.
TI-83 / TI-84
Step 1: press “2nd” and also then push “VARS”.
Step 2: select “invNorm” and also then press “ENTER.”
Step 3: type in the portion for alpha/2 native the above table. For example, kind in 0.005 for a 99% to trust level.
Step 4: kind a close up door parentheses “)” and also then push ENTER.
The an outcome will be the z-score for the left tail (in this example, -2.576). As the normal distribution curve is symmetrical, the cutoff because that the ideal tail is the opposite: 2.576.
Gonick, L. (1993). The Cartoon guide to Statistics. HarperPerennial.Everitt, B. S.; Skrondal, A. (2010), The Cambridge thesaurus of Statistics, Cambridge college Press.
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CITE THIS AS:Stephanie Glen. "Z Alpha/2 (za/2): What it is, just how to uncover it" native sdrta.net: primary school Statistics for the remainder of us! https://www.sdrta.net/probability-and-statistics/find-critical-values/z-alpha2-za2/
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