已知集合 $A=\left\{x \mid 2^x < 4\right\}, B=\left\{x \mid-2 < \log _2 x < 2\right\}$ ，则 $A \cap B=(\quad)$
A
$\left\{x \left\lvert\, \frac{1}{4} < x < 4\right.\right\}$
B
$\left\{x \left\lvert\, \frac{1}{4} < x < 2\right.\right\}$
C
$\{x \mid 2 < x < 4\}$
D
$\{x \mid 1 < x < 2\}$
E
F