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Suppose a $z$-score was calculated and the value was found to be $k$.

Based upon the standard normal distribution, which of the following statements is false?

$p\left( z\ge k \right) >p\left( z>k \right)$

$p\left( z\ge k \right) =1-p\left( z\le k \right)$

$p\left( z < k \right) =p\left( z\le k \right)$

If $k = 0$, the $p(z < k) = 0.50$

If $k > 0$, then $p\left( z\ge k \right) <0.50$