This data is categorical: your A1-A4 levels are the categorical predictor X, your Accept/Reject levels are the categorical Y, and your counts are the frequencies. Here is the JMP data table:
Select Analyze > Fit Y by X, select X and click X, select Y and click Y, select N and click Freq. Here is the analysis:
You could also use logistic regression: select Analyze > Fit Model, select Y and click Y, select X and click Add, and select N and click Freq.
The results are the same, but each platform has different options. The contingency table analysis is for a simple case of one X and one Y. The logistic regression analysis allows for more than one X and terms that are transformations of the Xs, such as X1*X2 or X1^2.