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Based on the proportion of flawed boxes found in the sample of 22 boxes (4 out of 22), we can estimate that approximately 18.18% of boxes in the batch are flawed.
Therefore, in a batch of 44 boxes, we would expect around 18.18% of the boxes to be flawed.
18.18% of 44 = 0.1818 * 44 = 8
Therefore, we would expect the inspector to find around 8 flawed boxes in a batch of 44 boxes.