Question

I'm using my TI-84 plus calculator trying to figure out the critical value(s). All I need to know is how to do the problem on the calculator. I have tried everything. I did (area/2 and Df= 99) that was wrong) then I tried (1-area and Df= 99) that was wrong to) I tried it other ways and can't seem to get it down. I just need somebody to explain it to me step by step on how they got it. Thank you!

Claim: p≠ 0.21; α=0.01; p=0.16, n=100

Answer 1

Solution:

Given: Claim: ;

p=0.16,

n=100

Since this problem is related to hypothesis testing for one population proportion, so we must have to use Standard Normal distribution ( z distribution) to find critical value. ( Note: you were trying to use t distribution to find t critical value which is not correct).

Since claim is not equal to type, that means this is two tailed test, hence we need to two z critical values.

Use following steps:

Find

Now use TI-84 plus calculator.

Press 2ND

Press VARS (Distr)

Select invNorm(

Enter Area = 0.005 and click on Paste , Press Enter Key two times:

Thus z = -2.5758 = -2.576

Since this is two tailed test, z critical values are: ( -2.576 , 2.576 )