The best replacement for confidence level is confidence interval.

The best alternatives to confidence level are rated as following:
★★★★★  confidence interval
★★★★★  significance level
★★★  interval
★★  margin of error
★  precision
★  reliability
  sample size
  level of significance
  significance interval
  95%

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Speaking about confidence level, one probably shouldn't forget about sample size.

Other search terms related to confidence level and their ratings are:
★★★★★ sample size
★★★★ margin of error
★★ critical value
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confidence level
confidence interval
significance level