SYDNEY — The family of an Australian woman who was fatally shot by a Minnesota police officer in July demanded a more rigorous probe Thursday after a prosecutor cast doubts on the investigation.

Hennepin County Attorney Mike Freeman faulted investigators last week when he complained that he doesn’t have enough evidence to charge Officer Mohamed Noor in the killing of Justine Ruszczyk Damond. Noor shot Damond in the alley behind her home after she called 911 to report a possible sexual assault.

Reading a statement to reporters in Sydney, Damond’s father, John Ruszczyk, said the family was deeply concerned ‘‘about the possibility that the initial investigation was not done properly, and with the greatest integrity or sense of completeness.’’

Ruszczyk said he and the rest of Damond’s family were demanding Freeman and his colleagues continue to pursue a rigorous investigation and examination of evidence.

Freeman was captured on video at a Dec. 14 holiday reception expressing his frustration about the case. He said that it wasn’t his fault that there was not enough evidence to charge Noor, and that investigators ‘‘haven’t done their job.’’ Noor has declined to speak with investigators.

ASSOCIATED PRESS

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