Question

PA HELP PO!
using a left tailed test, which of the following value of z will not fall in the rejection region where the critical value is -1.638?

A. -1.637 B. -1.639 C. -1.641
D. -1.706​

Answer 1

Given :  using a left tailed test,

To Find :  which of the following value of z falls in the rejection region where the critical value is -1.638

A. -1.637 B. -1.639 C. -1.641 D. -1.706​

Solution:

using a left tailed test,  Values on right region of critical value are not in rejected region.

But values less than critical value ( Region in the left of region upto critical value will be rejection region )

Values in Right of critical value is - 1.637  only

Hence -1.637  does not   falls in the rejection region where the critical value is -1.638

as only -1.637  >  -1.638

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Answer 2

Given:

The critical value is $-1.638$

To find:

The values that will not fall in the rejection region.

Solution:

• By using a left-tailed test, we infer that the values on the right region of the critical value do not fall in the rejection region.
• The values on the left region of the critical value (lesser than the critical value) will fall in the rejection region.
• According to the question, the values lesser than the critical value are $-1.639$, $-1.641$, and $-1.706$. Hence, these values will fall in the rejection region.
• The value on the right region of the critical is $-1.637$.

Hence, $-1.637$ will not fall in the rejection region.

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