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# Ap statistics final project

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• 1. AP STATISTICSBy Ese Uwhuba & Hayden Hilliard.
• 2. ABSTRACTA study on the level of AP readiness and the effect of taking the test on astudents expected score was conducted at Skyline High School. The purpose ofthe study was examine whether students expectations about their scores improvedafter actually taking the test. In performing this study, we expected an increase ordecrease in expected score based on initial stated level of preparation. That isstudents who stated that they felt adequately prepared are expected to predicteither an increase or a constant score after taking the test and conversely. Thestudy is also concerned with the general AP (predicted) score distribution incomparison to national standardized levels from a recent testing session. Thisaspect of the study will be particularly helpful in determining the effectiveness ofAP classes and teachers at Skyline. If you have ever wondered: Should I know this? Why does my teacher never teach me anything? Or The year’s almost over, What have I really learned? OR Is it strange that I do not know the basis facts about the test? OR, this was a total Then get ready to see the real waste of \$87 reasons….
• 3. HOW PREPARED ARESKYLINE STUDENTS FOR Question THEIR AP TESTS?
• 4. T YPICAL HIGH SCHOOL STUDENT So much Stresses….How de we do it?
• 5. SAMPLING TECHNIQUE We obtained a list from our teacher of everyone taking the AP test of ficially. We then assigned each person a number ( 1-83 for English and 1-89 for Government) and used a random number generator to determine a sample of 30. Each person selected for the sample was then assigned a number 1-30 and given a survey to protect their identity. If there was anyone not taking Government that we originally surveyed for English, we replaced them with someone of equal merit (at our discretion) to be surveyed for Government
• 6. 6Data: English Predicted Scores Before/AfterY or N Before After Y or N Before AfterY 3 3 Y 5 4N 3 2 N 3 3N 4 4 N 3 3N 5 4 N 3 4 N 3 2N 3 2 N 3 4 N 3 1Y 3 4 N 4 3 N 3 3N 3 3 Y 4 4 Y 4 4Y 4 3 N 2 2 N 2 3N 3 3 N 2 2 Y 4 3Y 3 3 N 4 4N 3 4 N 3 3N 3 4 Y 3 3
• 7. 7 Data: Govt. Predicted Scores Before/AfterY or N Before After Y or N Before After N 3 3 N 3 4 Y 4 2 Y 3 3 Y 4 4 N 2 3 Y 4 4 Y 5 5 Y 4 4 N 3 3 Y 4 4 Y 3 3 N 4 4 N 3 3 N 3 4 N 3 4 Y 4 4 Y 4 4 N 3 3 N 3 3 Y 4 5 N 3 4 Y 4 4 Y 4 5 Y 4 5 N 3 3 Y 4 3 N 1 3 N 3 3 N 4 4
• 8. 8Do students feel prepared for their AP tests: Yes or No How Prepared do students feel for the AP English test? 30% 70% Yes No How prepared do students feel for the AP government test? Yes No
• 9. 9Predicted Scores: Before and After. Predicted Scores Before the Test Predicted Scores Before Test20 1618 14 14 131614 12 Frequency12 1010 8 8 6 6 4 4 2 1 1 1 2 0 0 1 2 3 4 5 1 2 3 4 5 AP SCORE Predicted Test Score After Test Predicted Scores After Test14 14 1312 12 1110 Frequency 10 8 8 6 6 4 4 4 2 2 1 0 0 0 1 2 3 4 5 1 2 3 4 5 APENGLISH APGOVERNMENT
• 10. 10HYPOTHESIS TESTINGChi-Squared test of Goodness of FitMatched Pairs T Test2 Sample T test
• 11. 11X 2 Goodness of Fit, English• Question: Are the proportions of predicted scores equal to the distribution of the national average? P1 = Proportion of testHo: P1 = 0.428 scores within 1-2 P2 = 0.31 P2 = Proportion of test scores that equal 3 P3 = 0.262 P3 = Proportion of testHa: P1 ≠ P2 ≠ P3 scores within 4-5 α = .05Assumptions1. Random Sample2. Expected cell count at least 5 (cells combined)Before Test X 2 = 16.817 p ≈ 0 ˂ α Reject HoAfter Test: X 2 = 6.672 p = 0.03557˂ Reject Ho α
• 12. 12X 2 Goodness of Fit, Government• Question: Are the proportions of predicted scores equal to the distribution of the national average? P1 = Proportion of testHo: P1 = 0.428 scores within 1-2 P2 = 0.31 P2 = Proportion of test scores that equal 3 P3 = 0.262 P3 = Proportion of testHa: P1 ≠ P2 ≠ P3 scores within 4-5 α = .05Assumptions1. Random Sample2. Expected cell count at least 5 (cells combined)Before Test: X 2 = 17.2104 p 0 Reject HoAfter Test: X 2 = 21.857 p 0 Reject Ho
• 13. 13Matched Pairs Test, English• Question: Is there a significant difference between students Before & After score predictions?Ho: μd = 0 μd = μ1 - μ2 = 0 μ1 = Mean of predicted test scores beforeHa: μd ≠ 0 taking the testAssumptions μ2 = Mean of predicted test scores after taking the test1. Random Sample α = .052. Samples are paired (before, after)3. Samples are large n ≥ 30.t = 0.72177 p = 0.4762 > αFail to Reject Ho
• 14. 14Matched Pairs Test, Government• Question: Is there a significant difference between students Before & After score predictions?Ho: μd = 0 μd = μ1 - μ2 = 0 μ1 = Mean of predicted test scores beforeHa: μd ≠ 0 taking the testAssumptions μ2 = Mean of predicted test scores after taking the test1. Random Sample α = .052. Samples are paired (before, after)3. Samples are large n ≥ 30.t = -1.75568 p = .0897 Fail to Reject Ho
• 15. 152 Sample t Test• Question: Is there a significant difference in the means of the difference between before and after test scores for the English and Government Tests?Ho: 1 - 2 = 0Ha: 1 2Assumptions1. Both samples are Independently selected random samples (They are random & the results of one sample do not affect the result of the other)2. Large Sample size n ≥ 30.t = -1.887 p = .06412 Fail to Reject Ho