Last school year, the student body of a local university consisted of 30% freshm

Question

Last school year, the student body of a local university consisted of 30% freshmen, 24% sophomores, 26% juniors, and 20% seniors. A sample of 300 students taken from this year's student body showed the following number of students in each classification. Freshmen83 Sophomores 68 Juniors 85 Seniors 64 We are interested in determining whether or not there has been a significant change in the classifications between the last school year and this school year. At a .0s level of significance, the null hypothesis Select one: should not be rejected. should be rejected. was designed wrong. cannot be tested.

Explanation / Answer

From following resutls p-value=0.65>0.05

So we do not reejct null hypothesis

Option-a is answer

Class Oi pi Ei=300*pi (Oi-Ei)^2/Ei Freshme 83 0.3 90 0.54 Sohpomres 68 0.24 72 0.22 Juniors 85 0.26 78 0.63 Seniors 64 0.2 60 0.27 total 300 1 300 1.66 Chi-square 3 degree of freedom 0.65 p-value

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