Question

When Jim surveyed 5 sixth-grade students at the community skating rink, he found that only 1 out of the 5 had completed the science project. He knows there are about 160 sixth-grade students in his community, so he infers that around 32 students have finished their science project. Is this a good inference?
No, Jim did not make a good inference because his sample is too small and may be biased because he only asked students that were at the rink.

No, Jim did not make a good inference because his sample is too small and 32 is not in the same proportion to the population as 1 to 5.

Yes, Jim made a good inference because 32 is the same proportion to the population as 1 to 5.

Yes, Jim made a good inference because most students at the rink were sixth graders.

Answer 1

I think it's the first yes

Answer 2

Answer:

Third option or Option C.

Yes, Jim made a good inference because 32 is the same proportion to the population as 1 to 5.

Step-by-step explanation:

The first thing to do is calculate the rate or probability of students who completed the science project, by dividing 1 student (number of successful events) by 5 students (number of possible events)

That is 1/5 = 0.2 (or 20%).

To determine the number of students who completed the science project of the total of 160 students, we must multiply that total (160) by the rate or probability (0.2 or 20%).

That is 160 x 0.2 = 32.

You can also calculate the probability of 32 out of 160 students.

That is 32/160 = 0.2 (or 20%)

Then we conclude that 1/5 is equivalent to 32/160. In other words, if 1 in 5 students is 20%, also 32 of 160 is 20%.

In conclusion, Jim made a good inference, because 32 is the same proportion to 160 as 1 to 5, that's 20%.