To answer this question, let's go through each option to understand why it is correct or incorrect:
Option A) Only one of the news-magazine shows remained on the air - This option is not necessarily true. The statement does not provide information about how many news-magazine shows remained on the air. It only mentions that two news-magazine shows were introduced in September.
Option B) Only one of the hour-long dramas remained on the air - This option is not necessarily true. The statement does not provide information about how many hour-long dramas remained on the air. It only mentions that three hour-long dramas were introduced in September.
Option C) At least one of the shows that was cancelled was an hour-long drama - This option is correct. The statement mentions that ten new television shows appeared in September, and by January, only seven were still on the air. Since there were three hour-long dramas introduced, it is possible that at least one of them was cancelled.
Option D) Television viewers prefer sitcoms over hour-long dramas - This option is not necessarily true. The statement does not provide information about viewer preferences. It only mentions the number of sitcoms and hour-long dramas introduced and how many remained on the air.
The correct answer is Option C. This option is correct because it is possible, based on the information provided, that at least one of the shows that was cancelled was an hour-long drama.