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Sagot :
The length of pregnancy does play a role in the education level of the baby. A significant relationship can be established using the chi square test.
What is a chi square test?
A chi square ( χ2) test is performed in order to find a co relation between two unrelated variables. The main objective of the test is to prove whether the relationship holds true or is just a product of mere chance. For example, if we are conducting a survey of two different parameters, first being the population of people who are married and the other about their educational qualification, we will get two distinct table of values without any significant co relation. But now if we want to establish a relationship, lets say that married people have less educational qualifications, we need to prove our statement by performing a chi square test. The final value can either be a null hypothesis which states that their is no convincing relationship between the two parameters or can be a alternate hypothesis with significant co relation.
Using chi square for the problem:
Following data can be represented on tabular form and calculated:
                         Gestation Period (Observed)
                   22-27    28-32    33-36    37-42    43+   Tot
Less than high  YES   14        34       140      1010     81   1279
school degree   NO   26       65       343      3032    208  3674
                   40       99       483      4042    289  4953
                          Gestation Period (Expected)
               YES  10.32   25.56     124.72   1043.75   74.62
               NO   29.67   73.43     358.27   2998.24  214.37
χ2 = ∑ [tex]\frac{(Observed-Expected)^2}{Expected}[/tex]
= [tex]\frac{13.54}{10.32} +\frac{71.23}{25.56} +\frac{233.47}{124.72} +\frac{1139.06}{1043.75} +\frac{40.70}{74.62} +\frac{13.46}{29.67} +\frac{233.17}{358.27} +\frac{1139.73}{2998.24}+\frac{40.57}{214.37}[/tex]
= 1.31+2.78+1.87+1.09+0.54+0.45+0.96+0.65+0.38+0.18 = 10.21
Now, calculating the degree of freedom= (coulmn-1)(row-1)= (5-1)(2-1) = 4
Looking at the reference table at 0.05 significance level, the value is 9.488
As the calculated value is more than the table value/critical value, null hypothesis can be rejected proving the alternate hypothesis that there might be a relationship between gestation period of a mother and the education level of her kid.
For more information regarding chi square tests, follow the link: brainly.com/question/29415488
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