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LONDON, Oct (Shenzhen: 000069.SZ - news) 3 (Reuters) - Sterling slipped to a three-week low on Tuesday after data showed construction sector activity tumbled in September, and as investors worried about political and economic uncertainty surrounding Britain's exit from the European Union. Brexit minister David Davis told the Conservative Party conference on Tuesday that Britain wants to negotiate an exit agreement with the EU but is ready to walk away with no deal, and that officials were "contingency planning" to make sure all scenarios were covered. The comments added to a sense of uncertainty over Britain's future - both political and economic - for investors that has dragged sterling down more than 10 percent against the dollar since last June's vote for Brexit.