They diddled their insurance company by making a false claim.

他们通过提出虚假索赔来诈骗保险公司。

《柯林斯英汉双解大词典》

But what if she genuinely believed in the false claim?

你有没有想过对方其实是真心相信她所做的陈述呢？

youdao

False claim, misappropriation and the random budget adjustment are the three major issues we should pay more attention to in the budget management of the administrative units.

虚报冒领、挤占挪用、随意调整预算是行政单位预算管理中应当引起注意的三大问题。

youdao

"Let's start with the false claim that illegal immigrants will get health insurance under reform,"

VOA: standard.2009.08.22

Although I guess there have been people who've made that sort of claim, it seems false to me.

尽管我想有些人,声称他们能观察到,但我对此并不苟同

耶鲁公开课 - 死亡课程节选

I think,as far as I can see,that the claim we all die alone, however we interpret it,just ends up being implausible or false.

在我看来，说我们全都会孤独而死，无论怎样解释都是不合理的，错误的。

耶鲁公开课 - 死亡课程节选

McErlean admitted making a false claim to an insurance company to claim death benefit.

BBC: Honduras 'crash death' man Anthony McErlean admits fraud

And you concluded that refuting a false claim can actually reinforce the belief in the original false statement.

NPR: Campaign Attack Ads Call 'Facts' Into Question

But his answer offers a troubling false claim about a lack of scientific consensus: the consensus is rock solid.

FORBES: Obama and Romney Talk Science. If I Worked for NASA, I'd Be Worried.