Answer:
60.444
Step-by-step explanation:
Answer:
Reject H0
Step-by-step explanation:
Given :
H0: The frequencies are equal. H1: The frequencies are not equal
Category f0 A 10 B 30 C 30 D 10
Total f0 = (10 + 30 + 30 + 10) = 80
Expected frequency is the same for all categories :
Expected frequency = 1/4 * 80 = 20
χ² = Σ(observed - Expected)² / Expected
χ² = (10-20)^2 / 20 + (30-20)^2 /20 + (30-20)^2 / 20 + (10-20)^2 / 20
χ² = (5 + 5 + 5 + 5) = 20
Pvalue = 0.00017
Pvalue < α
(2x+3y)+(7x-3y)
First, group like terms together, so (2x+7x) + (3y-3y). Then simplify within the parentheses. 2x+7x = 9x and 3y-3y = 0, so you have 9x, which cannot be simplified any further. The answer is 9x.
