Mathematical statisticians have established that if we square the value of z,the test statistic for the test of one proportion p,we produce the χ² statistic.That is,z² = χ².

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This statement is true, as it is a well-established result in mathematical statistics. The test statistic for testing one proportion p is given by z = (p̂ - p)/√[p(1-p)/n], where p̂ is the sample proportion, p is the hypothesized proportion, and n is the sample size. Squaring both sides of this equation gives z^2 = [(p̂ - p)/√(p(1-p)/n)]^2 = (p̂ - p)^2/[p(1-p)/n]. This is equivalent to the χ^2 statistic with 1 degree of freedom, which is denoted as χ^2(1) or χ^2_1. Therefore, we have z^2 = χ^2_1.

Mathematical Statisticians Have Established That If We Square the Value