Frito Company was founded in 1932 in San Antonio, Texas, by Elmer Doolin. H.W. Lay & Company was founded in Atlanta, Georgia, by Herman W. Lay in 1938. In 1961, the two companies merged to form Frito-Lay, Inc., with headquarters in Texas. Frito-Lay produced, distributed, and marketed snack foods with particular emphasis on various types of chips. In 1965, the company merged with Pepsi-Cola to form PepsiCo, Inc. Three decades later, Pepsi-Cola combined its domestic and international snack food operations into one business unit called Frito-Lay Company. Today, Frito-Lay brands account for 59% of the U.S. snack chip industry, and there are more than 45,000 Frito-Lay employees in the United States and Canada.

Discussion

In the research process for Frito-Lay Company, many different numerical questions were raised regarding Frito-Lay products, advertising techniques, and purchase patterns among Hispanics. In each of these areas, statistics—in particular, hypothesis testing—plays a central role.Using the case information and the concepts of statistical hypothesis testing, discuss the following:

1. Many proportions were generated in the focus groups and market research that were conducted for this project, including the proportion of the market that is Hispanic, the proportion of Hispanic grocery shoppers that are women, the proportion of chip purchasers that are teens, and so on. Use techniques presented in this chapter to analyze each of the following and discuss how the results might affect marketing decision makers regarding the Hispanic market.

a. The case information stated that 63% of all U.S. Hispanics are Mexican American. How might we test that figure? Suppose 850 U.S. Hispanics are randomly selected using U.S. Census Bureau information. Suppose 575 state that they are Mexican Americans. Test the 63% percentage using an alpha of .05.

b. Suppose that in the past, 94% of all Hispanic grocery shoppers were women. Perhaps due to changing cultural values, we believe that more Hispanic men are now grocery shopping. We randomly sample 689 Hispanic grocery shoppers from around the United States and 606 are women. Does this result provide enough evidence to conclude that a lower proportion of Hispanic grocery shoppers now are women?

c. What proportion of Hispanics listen primarily to advertisements in Spanish? Suppose one source says that in the past the proportion has been about .83.We want to test to determine whether this figure is true. A random sample of 438 Hispanics is selected, and the Minitab results of testing this hypothesis are shown here. Discuss and explain this output and the implications of this study using α = .05.

2. The statistical mean can be used to measure various aspects of the Hispanic culture and the Hispanic market, including size of purchase, frequency of purchase, age of consumer, size of store, and so on. Use techniques presented in this chapter to analyze each of the following and discuss how the results might affect marketing decisions.
a. What is the average age of a purchaser of Doritos Salsa Verde? Suppose initial tests indicate that the mean age is 31. Is this figure really correct? To test whether it is, a researcher randomly contacts 24 purchasers of Doritos Salsa Verde with results shown in the following Excel output. Discuss the output in terms of a hypothesis test to determine whether the mean age is actually 31. Let α be .01. Assume that ages of purchasers are normally distributed in the population.
Mean ............. 28.81
Variance ...........50.2651
Observations .......... 24
df ............... 23
t Stat .............. –1.52
P (Tt Critical one-tail ........ 2.50
P (T≠) two-tail .......... 0.1431
t Critical two-tail ........ 2.81
b. What is the average expenditure of a Hispanic customer on chips per year? Suppose it is hypothesized that the figure is $45 per year. A researcher who knows the Hispanic market believes that this figure is too high and wants to prove her case. She randomly selects 18 Hispanics, has them keep a log of grocery purchases for one year, and obtains the following figures. Analyze the data using techniques from this chapter and an alpha of .05.

Assume that expenditures per customer are normally distributed in thepopulation.

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Test and CI for One Proportiorn Test f p 0.83 vs p not = 0.83 Test of p 0.83 vs p not 0.83 Exact P-Value 347 438 0.792237 (0.751184, 0.829290) 0.042 Sample X N Sample p 95% CI $55 37 59 57 27 28 16 46 34 62 9 34 4 25 38 58 3 50