Ononot — In a clinical trial, the effectiveness of a new drug is asse

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Inferential Statisticshard

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In a clinical trial, the effectiveness of a new drug is assessed by the difference in response rates between two groups, $p_1$ and $p_2$ . If the observed difference is $\hat{\Delta} = 0.15$ with a standard error $SE = 0.04$ , and we test $H_0: \Delta = 0$ against $H_a: \Delta \neq 0$ at $\alpha = 0.01$ , what can we conclude about the precision of this interval estimate?