In the 2016 municipal elections, Mangaung Metro voters voted as follows: the Yellow Party received 60% of the votes, the Blue Party received 20% of the votes, the Red Party received 15% of the votes, and the Green Party received 5% of the votes. In an August 2019 opinion poll of registered voters in the Mangaung Metro, 2800 said that they would vote for the Yellow Party, 1100 said that they would vote for the Blue Party, 800 said that they would vote for the Red Party, and 300 said that they would vote for the Green Party. You have been asked to advise these political parties on whether the distribution of their support in the Mangaung Metro is the same in 2019 as it was in 2016. Using this information and formulating an appropriate hypothesis, the value of the test statistic that must be used to test the formulated hypothesis, rounded off to 3 decimal places is . Testing at the 10% level, the critical value of this hypothesis, rounded off to 3 decimal places is . Use a YES for reject H0 and NO for do not reject H0. In the space provided and writing your answer in capital letters, do you reject or do not reject the null hypothesis H0? . (Remember to write your final answers to 3 decimal places and when writing your answer use "." (3.250) instead of "," (3,250) with no spaces between digits).
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.
Tree diagram
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 13
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In the 2016 municipal elections, Mangaung Metro voters voted as follows: the Yellow Party received 60% of the votes, the Blue Party received 20% of the votes, the Red Party received 15% of the votes, and the Green Party received 5% of the votes. In an August 2019 opinion poll of registered voters in the Mangaung Metro, 2800 said that they would vote for the Yellow Party, 1100 said that they would vote for the Blue Party, 800 said that they would vote for the Red Party, and 300 said that they would vote for the Green Party. You have been asked to advise these political parties on whether the distribution of their support in the Mangaung Metro is the same in 2019 as it was in 2016. Using this information and formulating an appropriate hypothesis, the value of the test statistic that must be used to test the formulated hypothesis, rounded off to 3 decimal places is . Testing at the 10% level, the critical value of this hypothesis, rounded off to 3 decimal places is . Use a YES for reject H0 and NO for do not reject H0. In the space provided and writing your answer in capital letters, do you reject or do not reject the null hypothesis H0? . (Remember to write your final answers to 3 decimal places and when writing your answer use "." (3.250) instead of "," (3,250) with no spaces between digits).
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