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A study found that between 2011 and 2015, about 60.1% of workers commuted less than 26 minutes to work. The margin of error for the study was 1.9%.  Find the 95% confidence interval for this situation.(Enter the smallest value in the first blank and the largest value in the last blank. Do not add % sign)( %, % )

Question

A study found that between 2011 and 2015, about 60.1% of workers commuted less than 26 minutes to work. The margin of error for the study was 1.9%.  Find the 95% confidence interval for this situation.(Enter the smallest value in the first blank and the largest value in the last blank. Do not add % sign)( %, % )

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Solution

To find the 95% confidence interval, you subtract and add the margin of error from the percentage of workers who commuted less than 26 minutes to work.

Step 1: Identify the percentage of workers who commuted less than 26 minutes to work, which is 60.1%.

Step 2: Identify the margin of error, which is 1.9%.

Step 3: Subtract the margin of error from the percentage of workers who commuted less than 26 minutes to work. This gives you the lower limit of the confidence interval.

60.1% - 1.9% = 58.2%

Step 4: Add the margin of error to the percentage of workers who commuted less than 26 minutes to work. This gives you the upper limit of the confidence interval.

60.1% + 1.9% = 62%

So, the 95% confidence interval for this situation is (58.2, 62).

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