A company producestwo brandsof screwdrivers in equal numbers. There has been an accusation that the screwdrivers are made from defective metal and show a tendency to bend or break under pressure. Thecompany hasan internal policy thata metalsource is to beconsidered defective if more than 1% of tested tools show signs of weakness. Because the accusation is not specificto oneof the brands, the company wants to find the average failure rate ACROSS the brands. For Brand A, thecompany doesa simple random sampleof 5000 screwdrivers, and 70 are found defective. LetA bethe numberofdefectivescrewdriversin thesampleof 5000 and let PA representthe proportion of all Brand Ascrewdrivers thatare defective. You can assumeA is random and binomial. b. To obtain a confidence intervalfor PA, thecondition must be fulfilled that PA is approximately normal. Is this condition fulfilled in this scenario? Thecompany findsthestandard error in this scenario is 0.00166. How wasthiscalculated? How many standard errors is the observed valueof PA from 0.01?