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Two Companies, a and B, Package and Market a Chemical \quad

Question 107

Multiple Choice

Two companies, A and B, package and market a chemical substance and claim 0.15 of the total weight of thesubstance is sodium. However, a careful survey of 4,000 packages (half from each company) indicates that theproportion varies around 0.15, with the results shown below. Find the percentage of all chemical B packagesthat contain a sodium total weight proportion above 0.150. \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad  Proportion of Sodium \text { Proportion of Sodium }
<0.1000.1000.1490.1500.199>0.200 A 25%10%10%5% Chemcal Brand  B 5%5%10%30%\begin{array}{cccccc}\hline & <0.100 & 0.100-0.149 & 0.150-0.199 & >0.200 \\\hline & \text { A } & 25 \% & 10 \% & 10 \% & 5 \% \\{\text { Chemcal Brand }}\\& \text { B } & 5 \% & 5 \% & 10 \% & 30 \%\end{array}


A) 80%
B) 40%
C) 50%
D) 55%

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