A research team conducts a study to see whether voting for the candidates in the recent local election is homogeneous within age groups(given in years). One-hundred voters were randomly selected from each of five age classifications. Do the data indicate that voting is homogenous with respect to age group? Use 5% significance level. Age Candidate A Candidate B Candidate C Less than 25 48 22 30 25 and less than 35 55 20 25 35 and less than 45 50 28 22 45 and less than 55 45 21 34 Over 55 49 21 30
Addition Rule of Probability
It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.
Expected Value
When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known as the expectation, is denoted by: E(X).
Probability Distributions
Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.
Basic Probability
The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.
2. A research team conducts a study to see whether voting for the candidates in the recent local election is homogeneous within age groups(given in years). One-hundred voters were randomly selected from each of five age classifications. Do the data indicate that voting is homogenous
with respect to age group? Use 5% significance level.
|
Age |
Candidate A |
Candidate B |
Candidate C |
|
Less than 25 |
48 |
22 |
30 |
|
25 and less than 35 |
55 |
20 |
25 |
|
35 and less than 45 |
50 |
28 |
22 |
|
45 and less than 55 |
45 |
21 |
34 |
|
Over 55 |
49 |
21 |
30 |
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