In: Statistics and Probability
Today Friday May 15
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 | 85 | 156 | 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 ] ["0.01", "0.03", "0.57", "0.00"] Round your answer to three decimal places.
Conclusion:
["There is insufficient evidence to conclude whether or not athletes' majors and the entire student body follow the same distribution."
["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"]
Therefore, we can conclude that,
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.