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Pre school Attendance and Pre algebra Achievement In these times of educational reform attention has...

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Pre school Attendance and Pre algebra Achievement In these times of educational reform attention has been focused on pre school for all children Since many districts are facing budget cuts funding pre school programs may impact other offerings Before making their recommendations administrators in a large urban district take a random sample of 50 seventh graders and compare the pre algebra achievement levels of those who attended pre school and those who did not If achievement is independent of attending pre school then the proportions at each level should be equal Use the counts in the frequency table to determine if there is an association between attending pre school and pre algebra achievement Pre school No Pre school DF 1 2 3 4 5 6 7 8 9 10 P Below grade level 8 6 0 995 0 975 0004 0 01 0 0717 0 207 0 412 0 676 0 989 1 344 1 735 2 156 0 2 00016 1 642 0 0506 3 219 0 216 4 642 0 484 0 831 1 237 1 69 9 803 2 18 11 03 2 7 3 247 At grade Level 6 15 5 989 7 779 7 289 8 558 0 1 2 706 3 841 5 024 4 605 5 991 7 378 6 251 7 815 9 348 9 488 11 149 9 236 11 07 12 833 10 645 12 592 14 449 12 017 14 067 16 013 13 362 15 507 17 535 16 919 19 023 18 307 20 483 0 05 12 242 14 684 13 442 15 987 Advanced 6 19 0 025

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