Race and Smoking 2013 Data collected in 2013 by the behavioral Risk Factor surveillance System revealed that in the state of New Jersey, 14.7% of whites and 18.8% of blacks were cigarette smokers. Suppose these proportions were based on samples of 11,112 whites and 1916 blacks. Create a 90% confidence interval for the difference in the percentage of smokers between black and white adults in New Jersey Does this survey indicate a race-based difference in smoking among American adults? Explain using your confidence interval to test an appropriate hypothesis What alpha level did your test use?
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.
Race and Smoking 2013 Data collected in 2013 by the behavioral Risk Factor surveillance System revealed that in the state of New Jersey, 14.7% of whites and 18.8% of blacks were cigarette smokers. Suppose these proportions were based on samples of 11,112 whites and 1916 blacks.
- Create a 90% confidence interval for the difference in the percentage of smokers between black and white adults in New Jersey
- Does this survey indicate a race-based difference in smoking among American adults? Explain using your confidence interval to test an appropriate hypothesis
- What alpha level did your test use?
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