an online news report claims that 50% of online news readers work in the business industry. to test this…

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. online readers and the business industry based on this dot - plot and the sample of 25 online news readers, which conclusion can be drawn? 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. it is most likely that, out of 25 online readers, between 12 and 13 work in the business industry. 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. 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.

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. online readers and the business industry based on this dot - plot and the sample of 25 online news readers, which conclusion can be drawn? 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. it is most likely that, out of 25 online readers, between 12 and 13 work in the business industry. 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. 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.

Answer

Answer:

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.

Explanation:

Step1: Analyze sample proportion

The sample has 25 readers, 9 work in business, so sample - proportion is $\frac{9}{25}=0.36$. But this is just a sample proportion, not the true probability.

Step2: Consider expected value

If 50% of online - news readers work in business, for a sample of 25, the expected number is $0.5\times25 = 12.5$.

Step3: Evaluate simulation result

The simulation of 65 trials under the 50% assumption gives us a probability of 0.046 for 9 or fewer business - industry workers. In statistics, a probability of 0.046 (less than 0.05) is considered unusual. So, it provides evidence against the claim that 50% of online readers work in the business industry, suggesting that the true proportion is less than 50%.