Environmental engineers are using data collected by weather data centers to learn how climate affects the sea ice. Of ice melt ponds studied in a certain region, were classified as having "first-year ice". The researchers estimated that about % 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.

Complete Question

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, 84 were classified as having "first-year ice". The researchers estimated that about 16% 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.

The 90% confidence interval is

Step-by-step explanation:

From the question we are told that

   The sample size is  n  =  526  

   The  number that were classified to having a 'first-year ice ' is  k =  84

    The population proportion is  p  = 0.16

Generally the sample proportion is mathematically represented as

=>      

=>      

From the question we are told the confidence level is  90% , hence the level of significance is    

=>  

Generally from the normal distribution table the critical value  of   is  

Generally the margin of error is mathematically represented as  

=>  

=>  

Generally 95% confidence interval is mathematically represented as  

=>  

=>  

answer:

1. 0.04

2. 0.15

step-by-step explanation:

i just finished that assignment for properties of probability distributions.