From historical data at a local restaurant indicate that 60% of the customers order coffee, 15% order soft drinks, and the remaining order water. The owner of the restaurant is planning on opening a new restaurant and for purposes of stocking enough of the various drinks, wants to know if the proportions are the same for his new restaurant as they were for his original restaurant. In a sample of 1000 customers at the new restaurant, 550 ordered coffee, 190 ordered soft drinks, and the remaining simply wanted water. At the 5% level of significance, does it appear the proportions have changed?
Compound Probability
Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.
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Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described.
Conditional Probability
By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.
From historical data at a local restaurant indicate that 60% of the customers order coffee, 15% order
soft drinks, and the remaining order water. The owner of the restaurant is planning on opening a new
restaurant and for purposes of stocking enough of the various drinks, wants to know if the proportions
are the same for his new restaurant as they were for his original restaurant. In a sample of 1000
customers at the new restaurant, 550 ordered coffee, 190 ordered soft drinks, and the remaining simply
wanted water. At the 5% level of significance, does it appear the proportions have changed?
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