How does the burden of proof differ under intermediate scrutiny and strict scrutiny?…

How does the burden of proof differ under intermediate scrutiny and strict scrutiny?
While intermediate scrutiny only requires a preponderance of evidence, strict scrutiny requires the standard of beyond a reasonable doubt.
Under intermediate scrutiny, the burden of proof is on the plaintiff, while under strict scrutiny, the government must show the law has a “compelling state interest.”
While intermediate scrutiny places the burden of proof on the government, strict scrutiny places the burden of proof on the plaintiff.
Under intermediate scrutiny, the government must show that its classification scheme is rational and serves an important interest, while under strict scrutiny, the government has a greater burden to show the law has a “compelling state interest.”