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Brand managers become concerned if they discover that customers are aging and gradually moving out of the high-spending age groups. The average buyer for a particular brand of car is 58. A new model draws in younger customers. If a sample of 46 purchasers of the new model has average age 48 (with standard deviation 24), is this compelling evidence that the buyers of the new model are younger than the typical buyer of the brand? (Assume that the data meet the sample size condition.) Complete parts a through c. (a) State the null and alternative hypotheses. Describe the parameters. Choose the correct answer below. O A. Ho: US 48, Ha: [> 48; u is the average age of purchasers of the new model. O B. Ho: 1 2 58, Ha: p 58; p is the average age of purchasers of the new model. (b) Describe the Type I (false positive) and Type II (false negative) errors. Choose the correct answer below. O A. Concluding that purchasers of the new model are younger and they are is a Type I error. Concluding that purchasers of the new model are not younger when in fact they are is a Type II error. B. Concluding that purchasers of the new model are younger when in fact they are not is a Type I error. Concluding that purchasers of the new model are not younger when in fact they are is a Type II error. O C. Concluding that purchasers of the new model are not younger when in fact they are is a Type I error. Concluding that purchasers of the new model are younger when in fact they are not is a Type II error. O D. Concluding that purchasers of the new model are younger when in fact they are not is a Type I error. Concluding that purchasers of the new model are not younger and they are not is a Type II error. (c) Find the p-value of the test using a normal model of the sample distribution. Do the data supply enough evidence to reject the null hypothesis if a = 0.025? p-value = (Type an integer or decimal rounded to three decimal places as needed.)