Using the data below, determine whether the proportion for each group is equal using a 5% significance level. Assume that all assumptions are satisfied.
Group A. Group B. Group C
110. 150. 125
According to the given question, to test whether the proportion for each group is equal using a 5% level of significance for the following data:
Group | Group -A | Group -B | Group- C | Total |
Observed data | 110 | 150 | 125 | 385 |
Expected data | 128.3 | 128.3 | 128.3 | 385 |
We define the test hypothesis as:
Null hypothesis as: the proportion for each group is equal
Against the alternative hypothesis as; the proportion for each group is not equal
In order to test this hypothesis we used chi square test statistics as follows:
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