Question

in a survey at a local university, 22% of students say that they get less than the recommended eight hours of sleep per night. in a group of 4900 students, how many would you expect get eight or more hours of sleep per night?
students get eight or more hours of sleep per night.
(type a whole number.)

Explanation:

Step1: Find the percentage of students with 8+ hours sleep

Since 22% get less than 8 hours, the percentage with 8 or more is \(100\% - 22\% = 78\%\). Convert 78% to a decimal: \(78\% = 0.78\).

Step2: Calculate the number of students

Multiply the total number of students (4900) by 0.78: \(4900\times0.78 = 3822\).

Answer:

3822