Question

Problem No. 1.3

Given A sample of 400 engineering students is selected from all students registered at the college of Engineering,

and it turns out that 76 of them participate in intramural sports. True or false? Explicit justification of each answer is required.

1. The proportion of students at this college who participate in intramural sports is 19/100

2. The proportion of students at this college who participate in intramural sports is likely to be close to 19/100, but not equal to 19/100

Answer 1

1.False

• It's far fake due to the fact the entire four hundred college students isn't the complete strength of university. It's far only a sample from the no. Of college students and shape this sample best 76 students participate in intramural sports.
• This variety might also growth or decrease whilst taken into consideration the entire pupil population. So genuine percentage cant be determined.

2.True

• Real, in this example considering that we took random sample the posibility of percentage being near 19/one hundred is much more likely.
• It is able to boom or lower but the deviation will be smaller however cant be precisely proportional to 19/100 it's miles simplest random pattern.