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You get a large shipment of components from each of 2 different manufacturers. A sample of...

You get a large shipment of components from each of 2 different manufacturers. A sample of 250 items from the first manufacturer’s shipment yields 5 defectives, and a sample of 300 items from the second manufacturer’s shipment yields 8 defectives. The two manufacturers claim that their proportion defectives are essentially the same. Test this claim at a 4% significance level. (State the null and alternative hypotheses. Be sure to clearly state the “rejection region” for the test, and state your conclusion in words.)

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