A computer manufacturing company claims that only 7.2% of their computers are returned. Kelly thinks that the company is misrepresenting the true proportion of computers that are returned, and that the true proportion is higher than they claim. She wants to test this using a = 0.01. Kelly takes a sample of 300 computers and observes that 25 are returned. Assume a normal sampling distribution. (a) What are the null and alternative hypotheses? Ho: p 0.072 + HA: P 0.072 + (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, Kelly should fail to reject + the null hypothesis. (e) This data does not provide : sufficient evidence to conclude that the true proportion of computers is higher than claimed.

A computer manufacturing company claims that only 7.2% of their computers are returned. Kelly thinks that the company is misrepresenting the true proportion of computers that are returned, and that the true proportion is higher than they claim. She wants to test this using a = 0.01. Kelly takes a sample of 300 computers and observes that 25 are returned. Assume a normal sampling distribution. (a) What are the null and alternative hypotheses? Ho: p 0.072 + HA: P 0.072 + (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, Kelly should fail to reject + the null hypothesis. (e) This data does not provide : sufficient evidence to conclude that the true proportion of computers is higher than claimed.

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 58E: What is meant by the sample space of an experiment?

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