Whole Foods Market has shown steady growth at a time when traditional supermarkets have been flat. This could be attributed to a growing awareness of and demand for more natural foods. According to a study by Mintel in 2006, 30% of consumers have a high level of concern about the safety of the food they eat. Suppose we want to test this figure to determine if consumers have changed since then. Assuming that the 30% figure still holds, what is the probability of randomly sampling 25 consumers and having 12 or more respond that they have a high level of concern about the safety of the food they eat? What would the expected number be? If a researcher actually got 12 or more out of 25 to respond that they have a high level of concern about the safety of the food they eat, what might this mean? Note: give what kind of discrete distribution is used, the given and then solve (dont use excel please). Include the findings after solving.

A First Course in Probability (10th Edition)
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Case Whole Foods Market Grows Through Mergers and Acquisitions Over three decades ago, four businesspeople who had experience in retailing natural foods through food stores believed that there was a demand for a supermarket for natural foods. As a result, in 1980 in Austin, Texas, they founded the first Whole Foods Market store in a building that had around 10,000 square feet and a staff of 19. This store was quite large compared to health food stores at the time. By 1984, the company was successful enough to expand to Houston and Dallas. In 1988, they purchased the Whole Food Company in New Orleans and expanded there. The next year, they moved into the West Coast with a store in Palo Alto, California. Even though the company has built a number of its own stores, much of the company growth has come through mergers and acquisitions, many of which came in the 1990s in such places as North Carolina, Massachusetts, Rhode Island, both Northern and Southern California, and Michigan. After the turn of the century, Whole Foods Market established a presence in Manhattan (NY), followed by a move into Canada and later into the United Kingdom. Presently, Whole Foods Market has 433 stores including 414 stores in 42 U.S. states and the District of Columbia, 10 stores in Canada, and 9 stores in the United Kingdom. There are over 91,000 team members, many of whom are full-time employees. Existing stores now average 43,000 square feet in size, about four times as large as the original “supermarket”. Whole Foods Market is the eighth largest food and drug store in the United States with over $14 billion in sales last year and ranks 218 on the list of Fortune 500 companies. Whole Food Markets is the largest retailer of natural and organic foods and prides itself in doing the research necessary to assure customers that offered products are free of artificial flavors, colors, sweeteners, preservatives, or hydrogenated fats. The company attempts to customize each store by stocking it with products that are most in demand in any given community. Whole Foods Market management cares about their employees, and the company has been named by Fortune magazine as one of the “100 Best Companies to Work For” in the United States every year since the list was first compiled 18 years ago. The company attempts to be a good community citizen, and it gives back at least 5% of after-tax profits to the communities in which they operate. In January 2008, Whole Foods Market was the first U.S. supermarket to commit to completely eliminating disposable plastic bags. The Core Values of the company are “Whole Foods, Whole People, and Whole Planet.” The Whole Foods Market searches “for the highest quality, least processed, most flavorful and natural foods possible …” The company attempts to “create a respectful workplace where people are treated fairly and are highly motivated to succeed.” In addition, the company is committed to the world around us and protecting the planet. Discussion 1. Whole Foods Market has shown steady growth at a time when traditional supermarkets have been flat. This could be attributed to a growing awareness of and demand for more natural foods. According to a study by Mintel in 2006, 30% of consumers have a high level of concern about the safety of the food they eat. Suppose we want to test this figure to determine if consumers have changed since then. Assuming that the 30% figure still holds, what is the probability of randomly sampling 25 consumers and having 12 or more respond that they have a high level of concern about the safety of the food they eat? What would the expected number be? If a researcher actually got 12 or more out of 25 to respond that they have a high level of concern about the safety of the food they eat, what might this mean? Note: give what kind of discrete distribution is used, the given and then solve (dont use excel please). Include the findings after solving.
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