1. State th e null and alternative hypothe se s and the level of significance 2. State and che ck the as sumptions for the hypothesis test a. A rando m sample is taken. b. Expected freq uencies for each cell are g reater than or equal to 5 (The exp ect ed frequencies, E, will be calculated later, and this assumption means E ǃ 5 ). 3. Find the test statistic and p-value 4. Mak e a decision about the hypotheses. 5. S ummarize your findings. 10) The table lists the number of stud ents fro m three d ifferent high schools participating in the mathematics and p hysics sections o f a scien ce fair. At Į = 0.05, test the claim t hat th e sect ion of particip ation and the high school where the students were from are independent. Number of Students High School 1 High School 2 High School 3 Mathematics 7 7 18 Physics 37 17 21

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1. State th e null and alternative hypothe se s and the level of significance 2. State and che ck the as sumptions for the hypothesis test a. A rando m sample is taken. b. Expected freq uencies for each cell are g reater than or equal to 5 (The exp ect ed frequencies, E, will be calculated later, and this assumption means E ǃ 5 ). 3. Find the test statistic and p-value 4. Mak e a decision about the hypotheses. 5. S ummarize your findings.

10) The table lists the number of stud ents fro m three d ifferent high schools participating in the mathematics and p hysics sections o f a scien ce fair. At Į = 0.05, test the claim t hat th e sect ion of particip ation and the high school where the students were from are independent. Number of Students High School 1 High School 2 High School 3 Mathematics 7 7 18 Physics 37 17 21

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