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An Insurance Company Selected Samples of Clients Under 18 Years

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An insurance company selected samples of clients under 18 years of age and over 18 and recorded the number of accidents they had in the previous year.The results are shown below.  Under Age of 18 Over Age of 18n1=500n2=600 Number of accidents =180 Number of accidents =150\begin{array}{ll}\text { Under Age of } 18 & \text { Over Age of } 18 \\n_{1}=500 & n_{2}=600 \\\text { Number of accidents }=180 & \text { Number of accidents }=150\end{array} We are interested in determining if the accident proportions differ between the two age groups.
The pooled estimator of the population proportion is


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