A state-by-state survey found that the proportions of adults who are smokers in state A and state B were 24.5% and 17.7%, respectively. (Suppose the number of respondents from each state was 3000.) At a = 0.01, can you support the claim that the proportion of adults who are smokers is lower in state A than in state B? Assume the random samples are independent. Complete parts (a) through (e). (d) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below. O Reject Ho- O Fail to reject Ho- (e) Interpret the decision in the context of the original claim. Choose the correct answer below. OA. At the 1% significance level, there is insufficient evidence to support the claim. O B. At the 1% significance level, there is sufficient evidence to reject the claim. O C. At the 1% significance level, there is insufficient evidence to reject the claim. O D. At the 1% significance level, there is sufficient evidence to support the claim.
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.
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