17. Environmental engineers are using data collected by weather data centers to

Question

17. Environmental engineers are using data collected by weather data centers to learn how climate affects the sea ice. Of 526 ice melt ponds studied in a certain region, 105 were classified as having "first-year ice". The researchers estimated that about 20% of melt ponds in the region have first-year ice. Estimate, with 90% confidence, the percentage of all ice-melt ponds in the region that have first-year ice. Give a practical interpretation of the results. Construct a 90% confidence interval around the sample proportion of ice melt ponds with first-year ice. (Round to four decimal places as needed.) Interpret the confidence interval practically. Choose the correct answer below. 0 A. Since 20% is not in the interval, one can be 90% confident the true proportion of ice melt ponds 0 B. Since 20% is in the interval, one can be 90% confident the true proportion of ice melt ponds in O c. One can be 90% confident the true proportion of ice melt ponds in the region with first-year ice 0 D. One can be 90% confident the true proportion of ice melt ponds in the region with first-year ice in the region with first-year ice is not 20%. the region with first-year ice is 20% lies at the mean of the above intervalrather than at 20%. , is within the above interval, though it is probably not 20%. One can be 90% confident the true proportion of ice melt ponds in the region with first-year ice is within the above interval, and there is a 90% chance it is 20%. E.

Explanation / Answer

The statistical software output for this problem is:

One sample proportion summary confidence interval:
p : Proportion of successes
Method: Standard-Wald

90% confidence interval results:

Hence,

90% confidence interval will be:

(0.1710, 0.2283)

Conclusion: Option D is correct.

Proportion Count Total Sample Prop. Std. Err. L. Limit U. Limit p 105 526 0.19961977 0.017428382 0.17095263 0.22828691

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