A survey was conducted of newływeds in a country who have a spouse of a different race or ethnicity from their own. The survey included random samples of 1000 newlyweds in Ethnicity 1000 newlyweds in Ethnicity B. In the survey, 14% of respondents in Ethnicity A and 20% of respondents in Ethnicity B had a spouse of a different race or ethnicity from their own. At a=0 there evidence to support the claim that the proportion of newlyweds in Ethnicity A who have a spouse of a different race or ethnicity from their own is less than the proportion of newlywed Ethnicity B that have a spouse of a different race or ethnicty from their own?
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)Let
represent the proportion of newlyweds in Ethnicity A who have a spouse of a different race or ethnicity from their own. Let
represent the proportion of newlyweds in Ethnicity B that have a spouse of a different race or ethnicity from their own. State the null and alternative hypotheses.
(b)Calculate the standardized test statistic.
(c)Calculate the P-value.
(d)State the conclusion of the hypothesis test.
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