Suppose you are in need of a vehicle and are shopping for a used car. You want to pay cash and have $14,000 saved. Your friend says that you should have no problem finding a car with that much money, but you claim that the average used vehicle costs more than $14,000 so it may take some effort to find one. You use hypothesis testing to test your claim. 1. What is the null hypothesis and the alternative hypothesis. Be sure to enter this as it was done in the lecture slides, stating the parameter (see Lecture 13 for reference). 3 pts. H: H: 2. Would it be better to use the rejection region approach or the p-value approach for your test of hypothesis? Explain. 3 pts. 3. Use the p-value approach to conduct a test of hypothesis for your claim that the average used car costs more than $14,000. Test at alpha= .05. Insert your Statistix 10 Printout below. 3 pts. 4. What is your test statistic and p-value (state both the name of the statistic and the value, as done in the lecture slides). 3 pts. 5. State your conclusion (interpret your results as done in the lecture slides). 3 pts. Your friend now tells you that most used cars will have high mileage (define "high mileage as 100,000 or more miles). You claim that less than 25% of used cars for sale have high mileage. 6. What are the null and alternative hypotheses for a test of hypothesis for the above claim? Enter this as it was done in the lecture slides, stating the parameter (see Lecture 14 for reference). 3 pts. H: H: 7. Conduct a test of hypothesis to test this claim using the Statistix 10 software. Test at alpha = .05. Insert your Printout below. 3 pts. 8. State your test statistic and p-value (both name of statistic and value, as done in lecture 14 slides). 3 pts. 9. State your conclusion (as done in slides). 3 pts. 10. Did you have a large enough sample size to perform this analysis? Show your work supporting your answer (do the math) and explain why the sample size is or is not adequate. 3 pts.