Question

Find the critical value z alpha/2 that corresponds to the given confidence level. ​81%

Answer 1

Critical values are basically cut-off values that indicate regions where the test statistic is unlikely to lie. The required critical value is 1.31.

What are critical Values?

Critical values are basically cut-off values that indicate regions where the test statistic is unlikely to lie; for example, if the null hypothesis is true, the critical value is surpassed with probability alpha.

The value of α can be written as,

α = 1 - 0.81 = 0.19

$z_{\frac{\alpha}{2}} = \dfrac{0.19}{2}= 0.095$

Now, using the z-table the value of z will be,

z = 1.31

Hence, the required critical value is 1.31.

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