diff --git a/education/statistics/2.html b/education/statistics/2.html index 2539f51..a9cdb19 100644 --- a/education/statistics/2.html +++ b/education/statistics/2.html @@ -2,7 +2,7 @@ title: 2 description: published: true -date: 2026-02-11T14:17:36.454Z +date: 2026-02-11T14:19:33.262Z tags: editor: ckeditor dateCreated: 2026-02-11T14:03:50.863Z @@ -28,7 +28,7 @@ dateCreated: 2026-02-11T14:03:50.863Z -

Situation

+

Situation

n ≥ 30 n < 30
σ known @@ -101,5 +101,31 @@ dateCreated: 2026-02-11T14:03:50.863Z

Level of Significance

The maximum probability of committing a type I error, thus α is the rejection region.

 

-

Interval Estimate

-

An interval or a range of values used to estimate the parameter.

+

Critical Value (CV)

+

The dividing point between the region where the null hypothesis is rejected and the region where it is not rejected.

+

 

+

Compare CV with the test statistics:

+
+

 

+

P-value

+

The probability value is the actual area under the standard distribution curve, representing the probability of a particular sample statistic, or if the statistic occurring if the null hypothesis is true.

+

 

+

If p < α, reject the null hypothesis.

+

 

+

Procedure

+

State the hypotheses and identify the claim.

+

Set H0 and H1.

+

 

+

Check assumptions and conditions.

+

Independence and normality.

+

 

+

Find the critical values and rejection region.

+

One-sided or two-sided rejection region

+

 

+

Compute the test value.

+

Z test or t test

+

 

+

Decide whether the null hypothesis is rejected or not and draw the conclusion.

+

H0 is rejected or not.

+

There is (in)sufficient evidence that ...

+