An article claimed that only 38\88, percent 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 700700700 of the approximately 10{,}00010,00010, comma, 000 visitors to the hotel one month and checked whether they used their room alarm clock. Of the sampled visitors, only 35\55, percent used the alarm clock. Assuming that the article's 38\88, percent claim is also the true proportion for visitors to the hotel, what is the approximate probability that less than 35\55, percent of the sample used the alarm clock