The question is: explore significance of the RCT experiment in the given example. In next art consider impact on estimates. In last part analyze possibility of adding a dummy variable. Please see below for details:

3. A randomized controlled trial (RCT) was conducted in Denmark in April and May 2020 to analyse the impact of mask recommendation on SARS-CoV-2 infections.? The RCT assessed whether recommending surgical mask use outside the home reduces wearers' risk for SARS-CoV-2 infection in a setting where masks were uncommon and not among recommended public health measures. In the control group, participants were just encouraged to follow social distancing measures but there was no mask recommendation. In the treatment group, in addition to a recommendation for social distancing measures, participants were encouraged to wear a mask when outside the home among other persons together with a supply of 50 surgical masks and instructions for proper use. Around 4862 participants completed the study. Infection with SARS-CoV-2 occurred in 1.8% of participants in the treatment group, compared to 2.1% in the control group. The between-group difference was equal to - 0.3 percentage points, with standard error equal to 0.4 percentage points. (a) Taking into account this point estimate and its standard error, please discuss the statistical and economic significance of the study. Based on these findings, would you conclude that the treatment was ineffective? (3 marks) (b) Let us assume that the tests used in the experiment to detect SARS-CoV-2 had limited sensitivity (e.g. they were unable to detect all cases). How would this affect the consistency of the authors' point estimates? (3 marks) (c) Would you include in the analysis as a control variable a dummy indicating whether some family member of the participant got infected with SARS-CoV-2 during the intervention? Explain why. (4 marks)