Problem

Express the confidence interval 28.2%±5.7% in interval form.

Express the answer in decimal format (do not enter as percents).
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Final Answer: The confidence interval 28.2%±5.7%, in interval form, is [0.225,0.339].

Steps

Step 1 :The lower limit of the interval is calculated by subtracting the percentage error from the given percentage: 28.2%5.7%=22.5%.

Step 2 :The upper limit of the interval is calculated by adding the percentage error to the given percentage: 28.2%+5.7%=33.9%.

Step 3 :To convert these percentages to decimal format, we divide by 100. So, the lower limit in decimal format is 22.5%/100=0.225.

Step 4 :Similarly, the upper limit in decimal format is 33.9%/100=0.339.

Step 5 :Final Answer: The confidence interval 28.2%±5.7%, in interval form, is [0.225,0.339].

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