yes there is error in type II error
it should be
Type II – Error
In the case of a test of controls, that controls are less effective than they actually are
(Under Reliance on Controls)
,or in the case of a test of details, that a material misstatement exists when in fact it does not.
(Incorrect Rejection)

This type of erroneous conclusion affects audit efficiency as it would usually lead to additional work to establish that initial conclusions were incorrect.
(Reduces Efficiency of Audit)