According to the Driver and Vehicle Licensing Authority (DVLA) in 2019, 81% of the commercial drivers interviewed indicated that they have talked on their cell phones while driving. The survey conducted included drivers aged 16 to 61 years selected from 48 lorry stations in Ghana. Assume that this result holds true for the 2019 population of all such drivers in Ghana. In a recent random sample of 1600 drivers aged 16 to 61 years selected from Ghana, 83% said that they have talked on their cell phones while driving. Find the p-value to test the hypothesis that the current percentage of such drivers who have talked on their cell phones while driving is different from 81%. What is your conclusion if the significance level is 5%?
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.
QUESTION 2
According to the Driver and Vehicle Licensing Authority (DVLA) in 2019, 81% of the commercial drivers interviewed indicated that they have talked on their cell phones while driving. The survey conducted included drivers aged 16 to 61 years selected from 48 lorry stations in Ghana. Assume that this result holds true for the 2019 population of all such drivers in Ghana. In a recent random sample of 1600 drivers aged 16 to 61 years selected from Ghana, 83% said that they have talked on their cell phones while driving. Find the p-value to test the hypothesis that the current percentage of such drivers who have talked on their cell phones while driving is different from 81%. What is your conclusion if the significance level is 5%?
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