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?
Extracted text: O Pg PA =0.04. %3D "PB-PA 0.05(0.95) 500 0.09(0.91) 250 %3D O Hpg-PA = 0.04. %3D 0.05(0.95) 0.09(0.91) "PB-PA %3D - 500 250 O Ppg-PA = 0.07. 0.05(0.95) 0.09(0.91) "PB-PA %3D 500 250 = 0.07. "PB PA 0.05(0.95) 0.09(0.91) "PB-PA %3D 500 250
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