On August 19, the American Statistical Association posted its biweekly update regarding the status of the 2020 Census Quality Indicators efforts. The update is posted at: https://www.amstat.org/ASA/News/Updates-on-the-2020-Census-Quality-Indicators.aspx, the content for which is pasted below.
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August 19, 2021: The task force plans to release its state-level report by the middle of September and will continue its biweekly updates until the release.