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AP Statistics Thursday , 17 April 2014

AP Statistics Thursday , 17 April 2014. OBJECTIVE TSW (1) identify the conditions to use a chi-square test; (2) examine the chi-square test for independence; and (3) develop an understanding for a chi-square test for homogeneity. ASSIGNMENTS DUE WS Chi-Square # 1  wire basket

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AP Statistics Thursday , 17 April 2014

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  1. AP StatisticsThursday, 17 April 2014 • OBJECTIVETSW (1) identify the conditions to use a chi-square test; (2) examine the chi-square test for independence; and (3) develop an understanding for a chi-square test for homogeneity. • ASSIGNMENTS DUE • WS Chi-Square #1 wire basket • WS Chi-Square Independence black tray Everyone needs a calculator.

  2. c2 Test For Homogeneity

  3. c2 test for homogeneity • Used with a single categorical variable from two (or more) independent samples • Used to determine if the two populations are the same (homogeneous)

  4. Assumptions & formula remain the same! Expected counts & df are found the same way as the chi-square test for independence. The only change is the hypotheses!

  5. Hypotheses – written in words H0: The two (or more) distributions of <contextual populations> are the same. Ha: The distributions of <contextual populations>are different. Be sure to write in context!

  6. Example 5 The following data is on drinking behavior for independently chosen random samples of male and female students. Does there appear to be a gender difference with respect to drinking behavior? (Note: low = 1-7 drinks/wk, moderate = 8-24 drinks/wk, high = 25 or more drinks/wk) Assignment: Get together with the people in your row and complete this example (full write-up) on one piece of notebook paper AND copy this in your notes. Hand to me when your group finishes.

  7. Assumptions ▪ 2 independent random samples ▪ Expected counts: all expected counts ≥ 5  approximately normal distribution H0: Drinking behavior is the same for male and female students. Ha: Drinking behavior is different for male and female students. χ2 = 96.5618 p = 0.000 df = 3 α= 0.05 p ≤ α Reject H0. There is sufficient evidence to suggest that drinking behavior is different for male and female students.

  8. Assignments • WS Chi Square • Full write-up for #1, #2, and #5. • Due on Monday, 21 April 2014. • WS Mixed Hypothesis #2 • Due on Monday, 21 April 2014. • WS Mixed Hypothesis #3 • Due on Tuesday, 22 April 2014. • QUIZ: Chi Square on Monday, 21 April 2014.

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