A company creates wooden furniture to be sold at various retailers. This company claims that only 2.39% 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 = 0.01. She takes a sample of 1355 pieces of furniture, and observes that 70 of these furniture pieces are defective. Assume a normal sampling distribution. (a) What are the null and alternative hypotheses? H₀: H_A: (b) What is the test statistic? (Round your answer to 2 decimal places, if needed.)

(c) Using the statistical table, what is the p-value? (Round your answer to 4 decimal places, if needed.) (d) Based on the p-value, Monica should reject or fail to reject the null hypothesis? (e) This data provides or does not provide sufficient evidence to conclude that the actual percentage of furniture that is defective is different than the company claims?