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I get the answer and its correct. But I couldn’t understand . Please explain ste

ID: 3067278 • Letter: I

Question

I get the answer and its correct. But I couldn’t understand . Please explain step by step. Thanks! I get the answer and its correct. But I couldn’t understand . Please explain step by step. Thanks! 4 A simple random sample of 100 bags of tortilla chips produced at Plant A is selected every hour for quality control. In the current sample, 18 bags had more chips (measured in weight) than the labeled quantity. This sample information is being compared to data collected at Plant B. In the current sample of 100 bags of chips from Plant B, 12 bags had mbre chips than the labeled quantity. Let D represent the plus four estimate of th difference in the two proportions. What is the value of the standard error of D? A) 0.0384 B) 0.0503 0.0508 D) 0.0604

Explanation / Answer

SOL:

p1^=sample proportion of A=x/n=18/100=0.18

p2^=sample proportion of B=x/n=12/100=0.12

n1=100

n2=100

1----->A

2------>B

SE=sqrt(p1^(1-p1^)/n1+p2^(1-p2^)n2)

SE=ssandard error=sqrt(0.18(1-0.18)/100+0.12(1-0.12)/100)

standard error=0.0503

OPTIONB