Staying Single. From the U.S. Census Bureau document America’s Families and Living Arrangements and an article in Time magazine, we found that, in 1963, 83.0% of American women between the ages of 25 and 54 were married, compared to 64.6% in 2010. a. For 2010, identify the population. b. For 2010, identify the specified attribute. c. Under what circumstances is the proportion 0.646 a population proportion? d. Under what circumstances is the proportion 0.646 a sample proportion?
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.
Staying Single. From the U.S. Census Bureau document America’s Families and Living Arrangements and an article in Time magazine, we found that, in 1963, 83.0% of American women between the ages of 25 and 54 were married, compared to 64.6% in 2010.
a. For 2010, identify the population.
b. For 2010, identify the specified attribute.
c. Under what circumstances is the proportion 0.646 a population proportion?
d. Under what circumstances is the proportion 0.646 a sample proportion?
a.
It is given that in 1963, 83.0% of American women between the ages of 25 and 54 were married compared to 64.6% in 2010.
Population:
The population consists of the complete subjects that are included in the study for making inferences.
Here all women aged 25 to 54 in the U.S in 2010 represent the population.
b.
Here the study is about women aged 25-54 in the U.S who got married in 2010 which is considered as a specified attribute.
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