Answer:
the machine is mixing the nuts are not in the ratio 5:2:2:1.
Step-by-step explanation:
Given that a machine is supposed to mix peanuts, hazelnuts, cashews, and pecans in the ratio 5:2:2:1.
A can containing 500 of these mixed nuts was found to have 269 peanuts, 112 hazelnuts, 74 cashews, and 45 pecans.
Create hypotheses as
H0: Mixture is as per the ratio 5:2:2:1
Ha: Mixture is not as per the ratio
(Two tailed chi square test)
Expected values as per ratio are calculated as 5/10 of 500 and so on
Exp 250 100 100 50 500
Obs 269 112 74 45 500
O-E 19 -12 -26 -5 0
Chi 1.343 1.286 9.135 0.556 12.318
square
df = 3
p value = 0.00637
Since p value < alpha, we reject H0
i.e. ratio is not as per the given
