Nationally, the proportion of red cars on the road is 0.12. A statistically-minded fan of the
Philadelphia Phillies (whose team color is red) wonders if Phillies fans differ from the national proportion of 0.12. One day during a home game, he takes an SRS of 210 cars parked at Citizens Bank Park (the Phillies home field) while a game is being played, and counts 32 red cars. Using a significance level of alpha = 0.05, do the results provide convincing evidence that Phillies fans differ from the rest of the nation?
12. State and define the parameter:
13. State the null and alternative hypothesis.
14. Conduct the test. State the p-value. (include any work or calculations you wish to provide)
15. State a conclusion and write what this means in the context of the problem.
16. What type of error could you have just made? Again state what that means in context.
17. What is something you could have done to reduce the risk of committing that error you described?