Question: A certain computer network rejects messages that any program attempts to send on the network whenever the network runs out of buffer space to temporarily

A certain computer network rejects messages that any program attempts to send on the network whenever the network runs out of buffer space to temporarily store the outgoing messages. This occurs when network temporarily becomes very busy. Your measurements over the course of several days showed that out of 5,456,876 messages requests, 5,342 of them were rejected by the network. You are considering whether it is worthwhile to purchase additional buffer memory to reduce the number of messages rejected. With 90% confidence, what message- rejection rate (measured as messages rejected per 1,000,000 attempts) can be tolerated by the upgraded network while showing a statistically significant improvement in performance? (Hint: compare the 90% confidence intervals before and after the upgrade. We are talking about confidence interval for proportions here).

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