The Elkton District School Board is interested in evaluating the potential of three home school programs that have been proposed for the district. Over the past year, each of the three programs has been administered to a sample of 25 students. At the end of the year, each of the students in the three sample groups was given a standard exam. Complete the ANOVA table below and use the information in the table to test a null hypothesis that the average exam score would be the same for the three populations represented by these sample groups. Use a significance level of .05. Report your conclusion and explain your reasoning.

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ANOVA Source of Variation SS df MS F P-value Fcrit Between Groups 3260 2 a)(d3.124 Within Groups 57800 72 b) Tota 61060 74