I have a question with regards to normality of the data. When I do a shapiro-Wilk test I'm getting a p>0.05 (which means that my data is normally distributed). However, when I plot my data using boxplots, the median is not centered in the middle and seems skewed.
I'm not sure what to believe? How do I decide if my data is normally distributed or not? Can I go ahead and assume its normally distributed because the shapiro-Wilk test confirms that quantitatively? Would I be criticized for making that assumption if my boxplots look skewed?