I am trying to measure a statistically significant lift in sales and want to confirm appropriate methodology
- Created "Matched Markets" of 20 stores (10 in control vs. 10 in test)
Source Data (represented as total sales during test period):
100 185 125 180 135 170 130 172 140 190 170 177 165 165 160 197 162 185 134 196
I am running a one-tailed t-test since I do not know the SD of the population and we are hypothesizing that Test is greater than control. Based on this, I am calculating a p-value of .00003 with the result is significant at p < .05.
I want to confirm a t-test is appropriate here and I am not violating any assumptions around populations (since the stores in test vs. control are in different states) or anything else.
I also wanted to confirm whether you are ALSO able to declare significance since the average of the test group (181.7) is greater than the Confidence Interval of control at 95% (calculated to be (142.1 ± 14)