A company creates wooden furniture to be sold at various retailers. This company claims that only 2.87% of their furniture are defective in some manner. Monica would like to test this claim to see if the actual percentage of furniture that is defective is different than the company claims, using a = 0.01. She takes a sample of 1135 pieces of furniture, and observes that 71 of these furniture pieces are defective. Assume a normal sampling distribution. (a) What are the null and alternative hypotheses? Ho: p 3