Explanation:

Medicinal properties: Some mushrooms, like the Reishi, Shiitake, and Turkey Tail, have been known for their potential medicinal benefits, including boosting the immune system and fighting cancer.

Psychoactive properties: Some mushrooms, commonly referred to as "magic mushrooms", contain a compound called psilocybin which has psychoactive properties. They can cause hallucinations and spiritual experiences.

Insecticidal properties: Some mushrooms produce secondary metabolites that can act as insecticides. An example is the Amanita muscaria, which can be toxic to insects.

Bioluminescent properties: Some mushrooms emit light, a phenomenon known as bioluminescence. An example is the Mycena chlorophos species found in Japan.

So, all the four statements are correct.