Question 2 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)
An online news report claims that 50% of online news readers work in the business industry. To test this claim, a researcher takes an SRS of 25 online news readers. Nine of them work in the business industry. A simulation of 65 trials was conducted under the assumption that 50% of online news readers really do work in the business industry.
Answer
A
Since 0.36 of the sample works in the business industry, 0.36 is the true probability that an online news reader works in the business industry.
B
It is most likely that, out of 25 online readers, between 12 and 13 work in the business industry.
C
Because there appear to be outliers present that are greater than 16, we can conclude that more than 50% of online readers work in the business industry.
D
There is about a 0.046 chance that 9 or fewer online readers work in the business industry. This is unusual and is convincing evidence that less than 50% of online readers work in the business industry.