Question
show all working please.
TESTS CHAPTER 8, CHI-SQUARE 1. Imagine you are a supermarket manager wishing to see whether or not the location of red wine (Washington merlot wine, of course) in certain areas of the store will affect the number of wine bottles sold. You place 60 bottles of wine near the meat section, and 60 bottles of wine near the regular liquor section. You have a hunch that people will buy more wine if wine is located near the meat rather than in the regular liquor section. You collect data on the number of wine bottles sold in each location of the store over a busy holiday weekend. Do a 1 group chi-square test to determine whether wine bottle sales are related to store placement location. State your conclusion using your obtained chi-square statistic compared with the critical chi-square value and remember to denote the degrees of freedom properly. Show all work and use 2 decimals places for rounding iqor Total Meats Section Section Bottles Bottles Bottles Sold sold sold 47 80 observed expected
Explanation / Answer
TS = sum (Oi - Ei_^2/Ei
= (47 -40)^2/40 + (33-40)^2/40
= 2.45
degree of freedom = 1
critical value = 5.99
since TS < critical value
we fail to reject the null hypothesis
Oi Ei (Oi-Ei)^2/Ei 0.5 47 40 1.225 0.5 33 40 1.225 80 x^2 2.45 crtitcal 5.991465 0.117524868
