Mathematics, 26.10.2020 17:40 bbyarxi
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.
A dotplot titled online readers and the business industry has number of readers from the food industry on the x-axis, and frequency on the y-axis. 8, 1; 9, 2; 10, 6; 11, 9; 12, 13; 13, 15; 14, 9; 15, 6; 16, 2; 17, 0; 18, 1; 19, 1.
Based on this dotplot 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.
Answers: 2
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