Question

Rows: var4
Columns: var1

Cell format

Count
(Row percent)

	A	B	C	D	F	Letter Grade	Total
DL	25 (21.37%)	38 (32.48%)	30 (25.64%)	12 (10.26%)	12 (10.26%)	0 (0%)	117 (100%)
OC	27 (25.96%)	39 (37.5%)	17 (16.35%)	11 (10.58%)	10 (9.62%)	0 (0%)	104 (100%)
Type	0 (0%)	0 (0%)	0 (0%)	0 (0%)	0 (0%)	1 (100%)	1 (100%)
Total	52 (23.42%)	77 (34.68%)	47 (21.17%)	23 (10.36%)	22 (9.91%)	1 (0.45%)	222 (100%)

Chi-Square test:

Statistic	DF	Value	P-value
Chi-square	10	225.17146	<0.0001

Warning: over 20% of cells have an expected count less than 5.
Chi-Square suspect.

3. Are the letter grades for students in the on-campus classes different from the letter grades of his distance learning students?

Answer 1

We know that when the p value is less than the significance level, then we reject the null hypothesis as the result is significant.

When the p value is greater than the significance level, then we fail to reject the null hypothesis as the result is insignificant.

According to the chi-square test data given in the chi-square test output table, the p value is less than significance level of 0.01 or 0.05.

So, we can say that the result is significant. Thus, we can reject the null hypothesis because the calculated p value is less than 0.0001

We can conclude that based on the given output data table, there is enought evidence to support the statement "letter grades for students in the on-campus classes different from the letter grades of his distance learning students"