A sample of 100 college students is selected from all students registered at a certain college, and it turns out that 38 of them participate in intramural’ sports.

True or false:

a. The proportion of students at this college who participate in intramural sports is 0.38.

b. The proportion of students at this college who participate in intramural sports is likely to be close to 0.38, but not equal to 0.38.

Answer

Step 1 of 2</p>

a) The given statement is False, Because of sampling variation.

Simple random samples do not reflect the population perfectly,

The proportion of students at this college who participate in intramural sports is not 0.38