Question: A study was conducted to determine the difference in the influence that coffee and tea have on sleeping time. Two groups of people took part

A study was conducted to determine the difference in the influence that coffee and tea have on sleeping time. Two groups of people took part in the study. In the first group, there were 2000 people who drank a cup of coffee in the evening. In the second group, there were 2000 people who drank a cup of tea in the evening. People in both groups were asked to skip their usual cup of coffee/tea in the evening, and then the duration of their sleep at night was measured. The mean change in sleeping time for people from the first group was =43 minutes. The mean change in sleeping time for people from the second group was =41 minutes. The null hypothesis is that the influence that coffee and tea have on sleeping time is equal, while the alternative hypothesis is that there is a difference in the influence. A randomization distribution has a p-value of 0.093. If we want to reject the null hypothesis, what significance level should we use

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