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 . A new model draws in younger customers. If a sample of purchasers of the new model has average age ​(with standard deviation ​), 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. A. H0​: ​, Ha​: ​; is the average age of purchasers of the new model. B. H0​: ​, Ha​: ​; is the average age of purchasers of the new model. Your answer is not correct. C. H0​: ​, Ha​: ​; is the average age of purchasers of the new model. This is the correct answer. D. H0​: ​, Ha​: ​; is the average age of purchasers of the brand. ​(b) Describe the Type I​ (false positive) and Type II​ (false negative) errors. Choose the correct answer below. A. 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. B. 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. C. 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. 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 test statistic. Be sure to indicate its value in your Excel file. Find the​ p-value associated with the test. Do the data supply enough evidence to reject the null hypothesis if ​0.025? ​p-value 0.007 ​(Type an integer or decimal rounded to three decimal places as​ needed.) Do the data supply enough evidence to reject the null hypothesis if ​0.025? A. H0. There is sufficient evidence that purchasers of the new model are younger than years on average. B. H0. There is sufficient evidence that purchasers of the new model are younger than years on average.