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 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?