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QuizMultiple Choice

Scope of Inference — Quiz

Question 1 • Statistics

Using this dotplot and the difference in proportions from the samples, is there convincing evidence that the new additive was more effective?

Answer
A
Yes, because a difference in proportions of 0 point 2 or more occurred 41 out of 200 times, meaning the difference is statistically significant and the new additive is more effective.
B
No, because a difference in proportions of 0 point 2 or more occurred 41 out of 200 times, meaning the difference is not statistically significant and the new additive is not more effective.
C
Yes, because a difference in proportions of 0 point 2 or less occurred 159 out of 200 times, meaning the difference is statistically significant and the new additive is more effective.
D
No, because a difference in proportions of 0 point 2 or less occurred 159 out of 200 times, meaning the difference is not statistically significant and the new additive is not more effective.

Explanation

For the question of whether the new additive is more effective, compare the observed difference in proportions, 0.2, with results at least that large in the dotplot. This happened 41 out of 200 times, or 20.5%, which is not an unusually small chance under random variation. So the result is not statistically significant and does not provide convincing evidence that the new additive is more effective; choice C gives the relevant count and conclusion.

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