20.) Last school year, the student body of a local university consisted of 30% f

Question

20.) 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: freshmen 83, sophomores 68, juniors 85, and seniors 64. The school superintendent is interested in determining whether there has been a significant change in the classification between last school year and this school year. What is the value of test statistic if the hypothesis to be tested at the 5% level of significance?

Please show me in Excel

a. a. 1.645 b. b. 1.96 c. c. 1.661 d. d. 0.646

Explanation / Answer

( please revert if you want help in creating belw table in excel)

applying goodness of fit test:

from above test statistic =1.66

option C

observed Expected Chi square x Probability(p) Oi Ei=total*p R2i=(Oi-Ei)2/Ei freshmen 0.300 83.000 90.0 0.54 sophomores 0.240 68.000 72.0 0.22 juniors 0.260 85.000 78.0 0.63 seniors 0.200 64.000 60.0 0.27 total 1 300 300 1.66

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