A company creates wooden furniture to be sold at various retailers. This company claims that only 2.59% 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 890 pieces of furniture, and observes that 47 of these furniture pieces are defective. Assume a normal sampling distribution. (a) What are the null and alternative hypotheses? Ho: P 0.0259 + HA: P 0.0259 + (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 + the null hypothesis. (e) This data provides + sufficient evidence to conclude that the actual percentage of furniture that is defective is different than the company claims.

A company creates wooden furniture to be sold at various retailers. This company claims that only 2.59% 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 890 pieces of furniture, and observes that 47 of these furniture pieces are defective. Assume a normal sampling distribution. (a) What are the null and alternative hypotheses? Ho: P 0.0259 + HA: P 0.0259 + (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 + the null hypothesis. (e) This data provides + sufficient evidence to conclude that the actual percentage of furniture that is defective is different than the company claims.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 6E: List the sample space of each experiment. Tossing three coins

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