assertion

他的声明是一个大胆的断言，没有任何证据支持。

His statement was a bold ___assertion without any supporting evidence.

律师在法庭上做出了被告无罪的声明。

The lawyer made an ___assertion of the defendant's innocence in court.

她坚持自己是对的，但没有任何证据支持她的说法。

She made an ___assertion that she was right, but offered no proof to support it.