Question

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:
sub(H,0): Level of math is independent of/dependent on grade level.
sub(H,1): Level of math is independent of/dependent on grade level.
Enter the expected matrix - round to 4 decimal places.
Honors Math Regular Math General Math
6th Grade
7th Grade
8th Grade
After running an independence test, can it be concluded that level of math is dependent on grade level?
Yes/No

Answer 1

To determine if the level of math is dependent on grade level, we can perform a chi-square independence test. First, create an expected matrix. Then, calculate the chi-square statistic and compare it to the critical value at the 0.05 level of significance.

Step-by-step explanation:

To determine if the level of math is dependent on grade level, we can perform a chi-square independence test. First, we need to create an expected matrix under the assumption that the level of math and grade level are independent. We can calculate the expected values by multiplying the row and column totals and dividing by the overall total. After calculating the expected matrix, we can perform the chi-square test by comparing the observed values to the expected values and calculating the chi-square statistic. Finally, we can compare the chi-square statistic to the critical value at the 0.05 level of significance to determine if we reject or fail to reject the null hypothesis that the level of math is independent of grade level.

Answer 2

use Ma.thway it helps

Step-by-step explanation: