For the following hypothesis test, 1) write the claim and opposite in symbolic f

Question

For the following hypothesis test, 1) write the claim and opposite in symbolic form next to H0 and H1, 2) draw a chi-square curve, find and show the critical value(s) and shade the critical region(s), 3) find the test statistic and it's p-value, and 4) write the final conclusion.

Question: Where do "A" students sit in the classroom? There are still 151 students enrolled in my four statistics classes this semester, 45 of which currently have an A. I recorded where the A students are sitting and here are the results: 16 of the A students sit in or near the front, 19 sit in the middle, and 10 sit in or near the back. Is there sufficient evidence to support the claim that "A" students are not evenly distributed throughout the classroom? Use =.05 significance level.

Explanation / Answer

H0: "A" students are evenly distributed throughout the classroom

H1: "A" students are not evenly distributed throughout the classroom

Let the los be alpha =0.05

Test Statistic, X^2: 2.8000
Critical X^2: 5.991471
P-Value: 0.2466

Here P-value > alpha 0.05, So we accept H0

thus we conclude that  "A" students are evenly distributed throughout the classroom

Observed Expected freqs (Oi) Freq. (Ei) (Oi-Ei)^2 / Ei Front 16 15 0.066666667 Middle 19 15 1.066666667 near to back 10 15 1.666666667 Total: 45 45 2.8

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