Find the values of Za/2 for a confidence level of 98%.
Question
Find the values of Za/2 for a confidence level of 98%.
Solution
To find the value of Za/2 for a confidence level of 98%, you need to understand that Za/2 refers to the z-score that corresponds to the tail areas of a standard normal distribution.
Here are the steps to find Za/2:
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First, understand that a 98% confidence level means that the middle 98% of the distribution is within the confidence interval. This leaves 2% in the tails of the distribution, split equally at 1% in each tail.
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Next, you need to find the z-score that corresponds to the tail area. You can do this by looking up the area to the left of the z-score in a standard normal distribution table, or by using a calculator or software that can calculate z-scores.
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Since standard normal distribution tables typically give the area to the left of the z-score, you want to look up the area that corresponds to 1 - 0.01 = 0.99 (or 99%).
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Looking this up in the z-table, you find that a cumulative area of 0.99 corresponds to a z-score of approximately 2.33.
So, for a 98% confidence level, Za/2 is approximately 2.33.
Similar Questions
how to solve this Confidence level = 94%
First, we need to find the Z-score that corresponds to a 94% confidence level. The Z-score for a 94% confidence level is approximately 1.88 (you can find this value in a standard Z-table or using a calculator).
Find the critical value z/α2 needed to construct a confidence interval with level 80%.Round the answer to two decimal places.The critical value for the 80% confidence level is .
What is the z-score of 99% confidence 1 point2.581.960.99
how to fine this. The confidence level is 99%, so the Z-score is approximately 2.576 (you can find this value in a standard Z-table or using a calculator)
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