Some mushrooms have medicinal properties: This statement is correct. There are various species of mushrooms that have been used in traditional medicine for their potential medicinal properties. For example, the Reishi mushroom is known for its potential immune-boosting and anti-inflammatory properties. Additionally, Turkey Tail mushroom is being studied for its potential to support cancer treatment. These mushrooms contain bioactive compounds that are believed to have health benefits.

Some mushrooms have psychoactive properties: This statement is correct. Certain mushrooms, known as "magic mushrooms" or psilocybin mushrooms, contain psychoactive compounds like psilocybin and psilocin. When ingested, these compounds can alter perception, mood, and consciousness. They have been used for centuries in various cultural and spiritual practices and are being researched for their potential therapeutic effects, particularly in the treatment of mental health conditions.

Some mushrooms have insecticidal properties: This statement is correct. Some mushrooms produce natural insecticidal compounds. Beauveria bassiana, for instance, is a fungus known for its insect-killing properties. It's used in biopesticides to control a wide range of insect pests. This fungus infects and ultimately kills insects by growing inside their bodies.

Some mushrooms have bioluminescent properties: This statement is correct. Bioluminescent mushrooms are a fascinating group of fungi that can emit light. While the exact purpose of this bioluminescence in mushrooms is not entirely clear, it is believed to play a role in attracting insects, which then aid in the dispersal of spores. Panellus stipticus is an example of a bioluminescent mushroom that can glow in the dark, particularly in low-light conditions.

So, all four statements are accurate, and they reflect the diverse and intriguing properties of different mushroom species.