Environmental engineers statistics homework help

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2. Environmental engineers are using data collected by weather data centers to learn how climate affects the sea ice. Of 502 ice melt ponds studied in a certain region, 100 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.

  • Since 20% is in the interval, one can be 90% confident the true proportion of ice melt ponds in the region with first-year ice is 20%.

B. 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%.

C.One can be 90% confident the true proportion of ice melt ponds in the region with first-year ice is within the above interval, though it is probably not 20%.

D.One can be 90% confident the true proportion of ice melt ponds in the region with first-year ice lies at the mean of the above interval, rather than at 20%.

E.Since 20% is not in the interval, one can be 90% confident the true proportion of ice melt ponds in the region with first-year ice is not 20%.

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