An article claimed that only 38% of hotel visitors used the alarm clock provided. A hotel manager wanted to see whether that proportion applied to the hotel where she worked, so she took a random sample of 700 of the approximately 10,000 visitors to the hotel one month and checked whether they used their room alarm clock. Of the sampled visitors, only 35 % used the alarm clock. Assuming that the article's 38% claim is also the true proportion for visitors to the hotel, what is the approximate probability that less than 35% of the sample used the alarm clock
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