00:01
The null hypothesis for the question is that the proportion of children in our region is the same as that of the overall proportions of the program.
00:09
The alternative hypothesis is that the observed proportions in the region differ from the programs overall proportions.
00:15
The sample size that we have in our question is that of 200 children.
00:20
Out of 220 children are 5 years old, 120 are 4 years old, 40 are 3 years old and 20 are less than 3 years old.
00:27
The expected value can be calculated by multiplying the total sample size by the proportions.
00:34
That is what i have done here in the middle column.
00:37
The expected values come out to be 8, 104, 68 and 20.
00:42
The kai square statistic can be calculated by the same old formula.
00:45
That is observed value minus the expected value whole square divided by the expected value.
00:50
You find the kai squared statistics for the categories and sum them all up.
00:54
The value turns out to be 31 .99...