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 .
Question
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 .
Solution
To find the critical value (z) for a confidence interval of 80%, you need to follow these steps:
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First, subtract the confidence level from 1 to find the alpha level: 1 - 0.80 = 0.20.
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Then, divide the alpha level by 2 to find the alpha level for a two-tailed test: 0.20 / 2 = 0.10.
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Look up the z-score that corresponds to this alpha level (0.10) in a standard normal distribution table or use a z-score calculator. The z-score that corresponds to an alpha level of 0.10 is approximately 1.28.
So, the critical value z/α2 needed to construct a confidence interval with a level of 80% is approximately 1.28.
Similar Questions
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