For a project to qualify for carbon credits, the required precision of estimates of the amount of wood saved per new stove adopted is 90/10. In other words, the margin of error of a 90% confidence interval can be no more than 10% of the value of the sample statistic. Will the data from the pilot study enable this project to qualify for carbon credits?

Question

Mathematics

Cara George

21 June, 09:04

For a project to qualify for carbon credits, the required precision of estimates of the amount of wood saved per new stove adopted is 90/10. In other words, the margin of error of a 90% confidence interval can be no more than 10% of the value of the sample statistic. Will the data from the pilot study enable this project to qualify for carbon credits?

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Stacy Matthews · Answer 1

Step-by-step explanation:

The required estimate is

90 woods saved by 10 new stoves adopted

Hence the required estimate is 9 woods saved per new stove adopted.

Data from the pilot study will enable this project to qualify for carbon credits if we are 90% confident that the data values from the pilot study fall within [8.1 - 9.9] woods saved per new stove adopted.

The lower and upper limits are derived from the margin of error, which is 10%.

9-0.9 = 8.1

9+0.9 = 9.9

On the other hand, if less than 90% of the values from the pilot study fall within this range, then the data from the study will no enable the project to qualify for carbon credits.