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A media personality argues that global temperatures are not rising, because every year an increase is reported, such as 0.09 degrees C. The difference from the previous year is less than the margin of error of about 0.13 degrees C, so that difference should be ignored. What is a strong counter argument? ​

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Answer:

The difference with any previous decade is much greater than the margin of error. In statistics, the margin of error refers to half the confidence interval. It measures how much of a random sample does not fall within the confidence interval as the number of samples taken increases indefinitely. Because the margin of error depends on the level of confidence, multiple margins of error are available from the same data set. Thus, although year after year the temperature difference is within the margin of error contemplated in the study, the truth is that the sum of several years shows differences that are not included within this margin, which proves that climate change is real and its negative effects are too.

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