A law enforcement agent believes that more than 88% of the drivers stopped on Saturday nights for speeding are under the influence of alcohol. A sample of 60 drivers who were stopped for speeding on a Saturday night were taken and 54 of the drivers in the sample were under the influence of alcohol. Question 17 State the null and alternative hypotheses. Question 18 Determine the critical value and rejection region (rounded off to three decimals).
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 law enforcement agent believes that more than 88% of the drivers stopped on Saturday nights for speeding are under the influence of alcohol. A sample of 60 drivers who were stopped for speeding on a Saturday night were taken and 54 of the drivers in the sample were under the influence of alcohol.
Question 17
State the null and alternative hypotheses.
Question 18
Determine the critical value and rejection region (rounded off to three decimals).
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