Express the confidence interval $0.846 \pm 0.038$ in open interval form (i.e., $(0.155,0.855)$ ).
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\(\boxed{\text{Final Answer: The confidence interval } 0.846 \pm 0.038 \text{ in open interval form is } (0.808,0.884)}\)
Step 1 ：The confidence interval is given as \(0.846 \pm 0.038\). This means that the interval extends 0.038 units above and below the central value of 0.846.
Step 2 ：To express this in open interval form, we simply need to subtract 0.038 from 0.846 for the lower limit and add 0.038 to 0.846 for the upper limit.
Step 3 ：Calculate the lower limit: \(0.846 - 0.038 = 0.808\)
Step 4 ：Calculate the upper limit: \(0.846 + 0.038 = 0.884\)
Step 5 ：\(\boxed{\text{Final Answer: The confidence interval } 0.846 \pm 0.038 \text{ in open interval form is } (0.808,0.884)}\)
