To find the critical value for a right-tailed test with an alpha level (α) of 0.02, we need to use the standard normal distribution (Z-distribution).
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Determine the significance level:
- For a right-tailed test, we are looking for the Z value that corresponds to the area of 0.02 in the upper tail of the normal distribution.
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Find the critical value:
- We can look up the Z value that corresponds to a cumulative area of \( 1 - \alpha \) (which is \( 1 - 0.02 = 0.98 \)).
- You can find this value using a Z-table or using a calculator or statistical software.
Using a Z-table or statistical software, we find:
- A cumulative area of 0.98 corresponds to a Z value of approximately 2.05.
Therefore, the critical value for a right-tailed test with \( \alpha = 0.02 \) is 2.05.
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