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The following sample was collected during registration at a large middle school. At the 0.05 level of significance, can it be concluded that level of math is dependent on grade level?
Honors Math Regular Math General Math
6th Grade 34 45 15
7th Grade 37 49 13
8th Grade 29 45 17
Hypotheses:
H0: Level of math is independent of/dependent on grade level.
H1: Level of math is independent of/dependent on grade level.
Enter the expected matrix - round to 4 decimal places.

Sagot :

Solution :

The expected matrix is :

[tex]$E_i=\frac{(\text{row total } \times \text{column total})}{\text{grand total}}$[/tex]            Honors        Regular       General

     6 th grade                                       33.0986      46.0070      14.8944

     7 th grade                                       34.8592      48.4542       15.6866

     8 th grade                                       32.0423      44.5387       14.4190

Thus we can say that the level of math is not dependent on the grade level.

Therefore, the provided information is correct. Test Stat = 1.4007, p-value = 0.844070419

[tex]H_0[/tex] : The level of math is independent of the grade level.

[tex]H_1[/tex] : The level of math is dependent on the grade level.

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