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The correct statement is option 3: 1 and 3 only.
Statement 1 is correct. The tropical cyclones that occur in the China Sea are called typhoons.
Statement 2 is incorrect. The tropical cyclones that occur in the West Indies are not called tornadoes. Tornadoes are a different type of weather phenomenon characterized by a violently rotating column of air that is in contact with both the surface of the Earth and a cumulonimbus cloud or a cumulous cloud.
Statement 3 is correct. The tropical cyclones that occur in Australia are called willy-willies. Willy-willies are small, localized whirlwinds that usually occur during the dry season in northern Australia.
Statement 4 is incorrect. The formation of an anticyclone does not result in stormy weather conditions. An anticyclone is a weather phenomenon characterized by the circulation of winds around a high-pressure center. It typically brings calm and fair weather conditions.
Therefore, the correct answer is option 3: 1 and 3 only.