An education researcher claims that the charges for tuition, fees, room, and board at 4-year degree-granting postsecondary institutions are uniformly distributed. To test this claim, you randomly select 800 4-year degree-granting postsecondary institutions and determine the charges for tuition, fees, room, and board at each. The table shows the results. At α = 0.05, test the education researcher’s claim.

(a) Identify the claim and state H₀ and H_a, 

(b) Find the critical value and identify the rejection region, 

(c) Find the chi-square test statistic,

(d) Decide whether to reject or fail to reject the null hypothesis, and 

(e) Interpret the decision in the context of the original claim.

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Frequency, f Cost $15,000-$17,499 138 $17,500-$19,999 154 $20,000–$22,499 246 $22,500-$24,499 169 $25,000 or more 93