Question

In: Statistics and Probability

The distribution of majors at the college is shown below. Major Math/Science Arts and Humanities Business...

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.

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Hint (Links to an external site.)

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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: [ Select ]

["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"]

Expert Solution

Since, P-value < 0.05

We reject the null hypothesis

And 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.

orchestra answered 1 year ago

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