- #1
Agent Smith
- 243
- 22
- TL;DR Summary
- Chi-Square Test
##H_0##: The probability of an obese person using chopsticks = the probability of a normal-weight person using chopsticks
##H_a##: The probability of an obese person using chopsticks ##\ne## the probability of a normal-weight person using chopsticks
"Partial" Chi-Square Test: I focused only on row 1 (Chopsticks) and computed the ##\chi ^2 = \frac{(7 - 16.5)^2}{16.5} + \frac{(26 - 16.5)^2}{16.5} = 10.9##
Degree of Freedom DF = Number of components - 1 = 2 - 1 = 1
The associated P-value < 0.005.
Significance level, ##\alpha = 0.05##
We can reject ##H_0##
1. The probability of an obese person using chopsticks ##\ne## the probability of a normal-weight person using chopsticks (from our P-value to ##\alpha## comparison)
2. The probability of an obese person using chopsticks < the probability of a normal-weight person using chopsticks. From the fact that the observed probability of an obese person using chopsticks (7/100) < the observed probability of a normal-weight person using chopsticks (26/100)
Have I got it right? Are there any errors?