distribution of majors at the college is shown below. Major Math/Science Arts and Humanities Business and Economics Others Percents 24 33 34 9 Suppose a random sample of 400 athletes from the college are surveyed. The table below shows the results of the survey. Major Math/Science Arts and Humanities Business and Economics Others Frequency 95 146 118 41 What can be concluded at the 0.05 level of significance? Perform the hypothesis test. H0: The distribution of majors for athletes at the college is the same as the distribution of majors for the general population. H1: The distribution of majors for athletes at the college is not the same as the distribution of majors for the general population. p-Value = [ Select ] ["0.04", "0.38", "0.21", "0.00"] Conclusion: [ Select ] ["There is insufficient evidence to support the claim that athletes' majors follow the same or a different distribution as majors from the entire student body.", "There is statistically significant evidence to support the claim that athletes' majors do not follow the same distribution as majors from the entire student body."]
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.
The distribution of majors at the college is shown below.
| Major | Math/Science | Arts and Humanities | Business and Economics | Others |
| Percents | 24 | 33 | 34 | 9 |
Suppose a random sample of 400 athletes from the college are surveyed. The table below shows the results of the survey.
| Major | Math/Science | Arts and Humanities | Business and Economics | Others |
| Frequency | 95 | 146 | 118 | 41 |
What can be concluded at the 0.05 level of significance? Perform the hypothesis test.
H0: The distribution of majors for athletes at the college is the same as the distribution of majors for the general population.
H1: The distribution of majors for athletes at the college is not the same as the distribution of majors for the general population.
p-Value = [ Select ] ["0.04", "0.38", "0.21", "0.00"]
Conclusion: [ Select ] ["There is insufficient evidence to support the claim that athletes' majors follow the same or a different distribution as majors from the entire student body.", "There is statistically significant evidence to support the claim that athletes' majors do not follow the same distribution as majors from the entire student body."]
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