A historian examining British colonial records for the Gold Coast in Africa suspects that the death rate was higher among African miners than among European miners. In the year 1936, there were 225 deaths among 32,693 African miners and 8 deaths among 1,536 European miners on the Gold Coast. Consider this year as a sample from the pre-war era in Africa. Is there good evidence that the proportion of African miners who died was higher than the proportion of European miners who died? Follow the Inference Toolbox, (use a=.05) z=_______________ P-value=_____________ Conclusion: a or b a) There is significant evidence that the proportion of African miners who died is higher than the proportion of European miners who died. b) There is no evidence that the proportion of African miners who died is higher than the proportion of European miners who died.
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 historian examining British colonial records for the Gold Coast in Africa suspects that the death rate was higher among African miners than among European miners. In the year 1936, there were 225 deaths among 32,693 African miners and 8 deaths among 1,536 European miners on the Gold Coast. Consider this year as a sample from the pre-war era in Africa. Is there good evidence that the proportion of African miners who died was higher than the proportion of European miners who died? Follow the Inference Toolbox, (use a=.05)
z=_______________
P-value=_____________
Conclusion: a or b
a) There is significant evidence that the proportion of African miners who died is higher than the proportion of European miners who died.
b) There is no evidence that the proportion of African miners who died is higher than the proportion of European miners who died.
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