  # At a .01 “alpha level”, what is the “critical cutoff” z-score for a “one-tailed test”? Explain how you figured out this z-score.

Question

At a .01 “alpha level”, what is the “critical cutoff” z-score for a “one-tailed test”? Explain how you figured out this z-score.

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Step 1

Introduction:

A one-tailed test may be of two types: left-tailed or right-tailed, depending upon whether the alternative hypothesis is of the less than-type (<) or greater-than type (>).

The z-test uses the standard normal distribution to find its cut-off values.

For a left-tailed z-test, the cut-off at α value (significance level) 0.01 is the value of the standard normal variable, Z, such that P (Z > z) = 0.01. This particular value is denoted by = z0.01, so that, P (Z > z0.01) = 0.01.

For a right-tail...

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### Hypothesis Testing 