Question

It is known that the average IQ of the population of adults is 100. A sample of 50 college students has an average IQ of 108. The probability of this difference being caused by random chance is 1/1000. Are these results statistically significant?

Options:
no, because the results are likely to occur by chance
no, because the results are unlikely to occur by chance
yes, because the results are likely to occur by chance
yes, because the results are unlikely to occur by chance.

Answer 1

yes, because the results are unlikely to occur by chance

Explanation:

1/1000 is converted to 10% as a decimal. That's like saying for everyone 1000 people, at least one of the can be this "random chance". The smaller the general population is, the higher the affect this percentage has on that group. If the population is lower, than there might be more of a chance that it'll occur but also because there's a smaller population, there's less variety.