A survey was conducted to determine the percentage of college freshmen that planned to take a math course while in college. The results were given as 75% with a margin of error of +/- 4%. What does the margin of error of +/- 4% mean? 4% of the students surveyed will most likely change their minds. The difference between the sample proportion and the population proportion is likely to be less than 4%. 4% of the students surveyed refused to participate in the poll. The percentage of the population that was surveyed was between 71% and 79%. 4% of the population was not included in the survey.
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.
A survey was conducted to determine the percentage of college freshmen that planned to take a math course while in college. The results were given as 75% with a margin of error of +/- 4%. What does the margin of error of +/- 4% mean?
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4% of the students surveyed will most likely change their minds. |
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The difference between the sample proportion and the population proportion is likely to be less than 4%. |
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4% of the students surveyed refused to participate in the poll. |
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The percentage of the population that was surveyed was between 71% and 79%. |
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4% of the population was not included in the survey. |
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