Solution: 95% can be sure that "the gender of high school students is related to whether they like math classes or not". The basis for making this judgment is the basic idea of independence test, and the specific process is as follows:
?
Like math.
Don't like math
be equal to
man
a
b
a+b
woman
c
d
c+d
be equal to
a+c
b+d
a+b+c+d
?
A, B, C and D respectively represent the number of boys who like math, the number of boys who don't like math, the number of girls who like math and the number of girls who don't like math. If gender is related to whether you like math or not, the proportion of boys who like math should be very different from that of girls who like math, that is, it should be very large. Multiply the formula on the right side of the above equation by a constant factor, and then square it to get:, where, the bigger, the more likely it is that gender is related to whether you like math courses or not.
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