Hypothesis testing

math_lete

Hey i have a quick question if anybody can help. In hypothesis testing i get a z value to be 3.6. And the example says that this is rejected at the 5% level because z is greater than 1.96. whats really annoying me is i have forgot how to get the 1.96 value for the 5% level. How do i work it out? similarly for 1% level. I think its worked out on one of the tables but i cant remember how to do it. Can anybody help me?

HallsofIvy

Did you look at a table of the Normal distribution?

Here's one online:
Public Domain Normal Distribution Table

If you look up 0.975 (so being outside of that, either above or below, is less than 0.05 or 5%) in the body of the table you will see that it corresponds to a z of 1.96.

For a (double ended) significance of 1% you would look up 0.995 in the body of the table and see what z that corresponds to. If find both 0.9949 and 0.9951 in the table with z values of 2.57 and 2.58 respectively. Since 0.995 is between those, I would say that corresponds to a z value of 2.575.

• math_lete