Post Reply 
Statistics hypothesis test
12-01-2022, 03:48 PM
Post: #1
Statistics hypothesis test
Hello,

If this isn’t the right place, please let me know or point me to where I should ask.

I’d like to do a hypothesis test, specifically, a 2-tailed test of the difference in means. The 2var app works fine for where the. Hypothesized mean is 0. In my case, the hypothesized mean is not 0 but I can’t seem to find a test for this.

Any suggestions, short of writing my own function?
Find all posts by this user
Quote this message in a reply
12-01-2022, 07:04 PM
Post: #2
RE: Statistics hypothesis test
(12-01-2022 03:48 PM)shaikht Wrote:  I’d like to do a hypothesis test, specifically, a 2-tailed test of the difference in means. The 2var app works fine for where the. Hypothesized mean is 0. In my case, the hypothesized mean is not 0 but I can’t seem to find a test for this.

Any suggestions, short of writing my own function?

I don't see a built-in way to do this on the Prime.

(It looks like it is available on NumWorks but not on the TI Nspire.)
Find all posts by this user
Quote this message in a reply
12-02-2022, 12:37 AM
Post: #3
RE: Statistics hypothesis test
In the Inference App under Hypothesis test, select the Alt Hypothesis μ1≠μ2.
Find all posts by this user
Quote this message in a reply
12-02-2022, 06:25 PM
Post: #4
RE: Statistics hypothesis test
(12-02-2022 12:37 AM)phobos Wrote:  In the Inference App under Hypothesis test, select the Alt Hypothesis μ1≠μ2.

That's the equivalent of μ1-μ2≠0. Please correct me if I'm mistaken, but I think the question was whether it was possible to compare the difference in the two samples' means to a value other than 0, such as μ1-μ2≠5.
Find all posts by this user
Quote this message in a reply
12-02-2022, 09:42 PM
Post: #5
RE: Statistics hypothesis test
If you subtract the value from x̄1 it should work.
Find all posts by this user
Quote this message in a reply
12-03-2022, 11:19 AM
Post: #6
RE: Statistics hypothesis test
Shaikht wrote:
Quote:I’d like to do a hypothesis test, specifically, a 2-tailed test of the difference in means. The 2var app works fine for where the. Hypothesized mean is 0. In my case, the hypothesized mean is not 0 but I can’t seem to find a test for this.
You can use the inference app:
Method: Hypothesis test
Type: Z-Test: Mue1-Mue2
Alt. Hypoth: Mue1 different Mue2
Goto Num and put in the needed values.
Example: Mean1 = 0.5; n1=50; Sigma1=0.2
Mean2 = 1; n2 = 80; Sigma2 = 0.3
Alpha = 0.05 (so you test with a significance level of 95%)
We want to test the hypothesis that the difference of the means of the universe is -0.333333.
Press Calc
You get two boundaries, lower = -0.585993, upper= -0.414007
-0.333333 is outside of the interval given by the boundaries.
Therefore the hypothesis that the difference can be 0.333333 has to be rejected.
Hope that helps.
Find all posts by this user
Quote this message in a reply
12-05-2022, 07:34 PM
Post: #7
RE: Statistics hypothesis test
(12-01-2022 07:04 PM)Wes Loewer Wrote:  I don't see a built-in way to do this on the Prime.

(It looks like it is available on NumWorks but not on the TI Nspire.)

Hello Wes,

Yes, you are correct: the hypothesized mean is not zero in my case. My workaround is to split the test statistic calculation into 2 fractions, the first one for u1-u2 and the second for the hypothesized mean. Then, subtract the latter from the former. Thanks for taking the time to understand my original question!
Find all posts by this user
Quote this message in a reply
12-07-2022, 03:57 AM
Post: #8
RE: Statistics hypothesis test
(12-02-2022 09:42 PM)phobos Wrote:  If you subtract the value from x̄1 it should work.

Well, that was easy!

It makes sense, but I have never seen the formulas for when the difference is not 0 so I wasn't sure if a simple shift would be equivalent. I wasn't sure if the test statics and the p-values would be exactly the same, but a little experimenting on NumWorks shows that indeed they are.

Sometimes the simplest answer really is the best. :-)
Find all posts by this user
Quote this message in a reply
Post Reply 




User(s) browsing this thread: 1 Guest(s)