Chi-Square Test of Homogeniety.

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Presentation transcript:

Chi-Square Test of Homogeniety

The following shows the results of 200 test scores The following shows the results of 200 test scores. Are the test scores normally distributed? Score Freq % 50 - 59 19   59 - 68 61 68 - 77 82 77 - 86 34 86 - 95 4

Are your nuts evenly distributed? observed Bazil 112 Cashew 183 Almonds 207 Hazelnut 71 Peanut 446

Contingency Table Listed in terms of Rows X Columns Df = (#Rows -1) (#Columns – 1) Expected Value =

Test for Homogeniety Test to see if proportions are the same

Test of Homogeniety State the hypotheses Assumptions Name of Test Compute expected values Find test statistic Find p-value Make Decision State Conclusion

An advertising firm has decided to ask 92 customers at each of three local shopping malls if they are willing to take part in a market research survey. At a 1% significance level, can it be concluded that the proportions of those who are willing to participate are equal? Mall A Mall B Mall C Will Participate 52 45 36 Will Not Participate 40 47 56

Survey of 300 1st time fathers to see if there were in the delivery room when their child was born. Are the proportions of those in the delivery room the same at three local hospitals? Hospital A Hospital B Hospital C Present 66 60 56 Not Present 9 15 19

Let’s check our eye dominance! Is it the same for boys & girls?

Homework Worksheet