Question: Two statistical methods are being considered for decreasing the number of defectives in a production line. Samples are taken under both methods. The results are

 Two statistical methods are being considered for decreasing the number of

Two statistical methods are being considered for decreasing the number of defectives in a production line. Samples are taken under both methods. The results are summarized below. \begin{tabular}(|1|0|0} Vhline & Sample size & Number of defectives Thline Method 1 & 5000 & 100 W Thline Method 2 & 4000 & 40 \hline \end{tabular Test whether there is sufficient evidence to conclude that method 2 has decreased the proportion of defects by more 1 percent than method 1 Show area of p-value and calculate it. Use $0.1$ level of significance. SP.SD.059

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