Final answer:
The statement about the Osmond family being a popular American music group that reached significant fame in the 1970s and had varying careers in entertainment is true.
Step-by-step explanation:
The statement that the Osmond family was a popular American music group known for their pop songs and reached the height of fame in the mid-1970s is true. The Osmonds were indeed a well-known family music group whose members include Donny and Marie Osmond, who branched out into television and stage careers. The brothers also continued to perform and had careers as country artists, notably performing in Branson, Missouri. This highlights the versatility and long-standing presence of the family in the entertainment industry.