You are the new Vice President of Sales for Penske Motors, one of America's leading automotive dealership groups that operates over 100 individual dealerships across the country. While you are an experienced marketer, you are new to the automotive business. Naturally, given Murphy's Law, one of your first recommendations will involve a decision about how the sales operation for all of the company's dealerships will be structured-and passionate opinions abound on both sides of this issue. Repeated surveys across many years have shown that the U.S. car-buying public hates the traditional new-car buying experience. Typically, this experience involves a great deal of bargaining between the buyer and the salesperson, who usually doesn't have the authority to make a final decision on the price of the vehicle but must check repeatedly with a sales manager. Consequently, different buyers could end up paying different prices for the same vehicle depending on a number of factors. Most potential customers find this process demeaning, upsetting, and time-wasting. In response, some dealers have begun selling their products in a way that is more agreeable to most Americans: they simply mark the price on the car and the potential buyer either pays that price or doesn't buy the car. Penske's California dealerships have been testing this new "flat pricing" policy, while its dealerships in other parts of the country have maintained the traditional,"bargaining" approach. You have a meeting with Roger Penske, himself, next week to recommend which of these sales policies the company should employ (which should give you an idea of the magnitude of this decision since Mr. Penske rarely involves himself in details of the company's business anymore). Once, long ago, you were a good student of a certain Market Research professor and, if nothing else, you learned to let facts and data help you make better decisions. The question here is which data? The key for the company is what sells the most vehicles, but your company has dealerships of all different sizes and a dozen different brands. Finally, it hits you: one of the most important tools in evaluating salesperson performance is the so-called "closing percentage:" that is, the percentage of customer visits that result in a sales "close" (i.e., the sale of a vehicle). Yelling for your SJSU intern, you quickly send her off to select a random sample of the company's California dealerships and another of the company's dealerships elsewhere in the U.S. In each case, your intern is to provide data on the number of customer visits and the number of vehicle sales. This will enable you to calculate a "closing percentage" for each approach. Given that data shows customers vastly prefer the flat pricing approach, you have decided to recommend the new "flat pricing" approach if its "closing percentage" is at least the same as the traditional "bargaining" approach. The data your intern provided is on the next page. Using an alpha of .1 and the 5-step hypothesis-testing process, what will you recommend?
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
You are the new Vice President of Sales for Penske Motors, one of America's leading automotive dealership groups that operates over 100 individual dealerships across the country. While you are an experienced marketer, you are new to the automotive business. Naturally, given Murphy's Law, one of your first recommendations will involve a decision about how the sales operation for all of the company's dealerships will be structured-and passionate opinions abound on both sides of this issue. Repeated surveys across many years have shown that the U.S. car-buying public hates the traditional new-car buying experience. Typically, this experience involves a great deal of bargaining between the buyer and the salesperson, who usually doesn't have the authority to make a final decision on the price of the vehicle but must check repeatedly with a sales manager. Consequently, different buyers could end up paying different prices for the same vehicle depending on a number of factors. Most potential customers find this process demeaning, upsetting, and time-wasting. In response, some dealers have begun selling their products in a way that is more agreeable to most Americans: they simply mark the price on the car and the potential buyer either pays that price or doesn't buy the car. Penske's California dealerships have been testing this new "flat pricing" policy, while its dealerships in other parts of the country have maintained the traditional,"bargaining" approach. You have a meeting with Roger Penske, himself, next week to recommend which of these sales policies the company should employ (which should give you an idea of the magnitude of this decision since Mr. Penske rarely involves himself in details of the company's business anymore). Once, long ago, you were a good student of a certain Market Research professor and, if nothing else, you learned to let facts and data help you make better decisions. The question here is which data? The key for the company is what sells the most vehicles, but your company has dealerships of all different sizes and a dozen different brands. Finally, it hits you: one of the most important tools in evaluating salesperson performance is the so-called "closing percentage:" that is, the percentage of customer visits that result in a sales "close" (i.e., the sale of a vehicle). Yelling for your SJSU intern, you quickly send her off to select a random sample of the company's California dealerships and another of the company's dealerships elsewhere in the U.S. In each case, your intern is to provide data on the number of customer visits and the number of vehicle sales. This will enable you to calculate a "closing percentage" for each approach. Given that data shows customers vastly prefer the flat pricing approach, you have decided to recommend the new "flat pricing" approach if its "closing percentage" is at least the same as the traditional "bargaining" approach. The data your intern provided is on the next page. Using an alpha of .1 and the 5-step hypothesis-testing process, what will you recommend?
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