chi-square test of homogeniety. the following shows the results of 200 test scores. are the test...
TRANSCRIPT
Chi-Square
Test of Homogeniety
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?
nut 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 = row sum column sum
grand total
Test for Homogeniety
Test to see if proportions are the same
: Proportions are the same
: At least one proportion is differento
A
H
H
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