In order to test the efficacy of a program designed to get more women to major in STEM fields in college, 700 women who went through the program were compared to 1200 students who did not go through the program. Of the women who went through the program, 125 of them majored in a STEM field in college. Of the 1200 women who did not go through the program, 174 of them majored in a STEM field. Performa hypothesis test to see if there is statistically significant evidence that the proportion of women who went through the program is significantly greater than the proportion who did not go through the program. Perform the test at the alpha = 0.05 level. What is thep-value and conclusion of this test? p-value = 0.026; Fail to reject the null hypothesis %3D p-value = 0.026; Reject the null hypothesis p-value = 0.053; Fail to reject the null hypothesis
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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