A quality control manager takes an SRS of 500 phone batteries from factory A, where 5% of the batteries have a defect. the manager also takes an independent SRS of 250 batteries from factory B, where 9% of proportions of the batteries have a defect. The manager will then look at the difference (B-A) between the proportions of defective batteries in each sample. What are the mean and standard deviation of the sampling distribution of the difference in sample proportions?

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If possible an explanation would also be appreciated; any unrelated answer is getting deleted