There are two one across and one from top to bottom all others will be unequal
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
Answer:
Step-by-step explanation:
25.
x + 2x -75 = 90
3x = 90+75
3x = 165
x = 55
Measure of A = 55
Measure of B = 2(55) - 75 = 110 - 75 = 35
28.
2x+10-x+55 = 90
x = 90-65
x = 25
measure of A = 2(25) +10 = 60
measure of B = -25+55 = 30
31.
2x+3+3x - 223 = 180
5x -220 = 180
5x = 400
x = 80
measure of A = 163
measure of B = 17
32.
-4x+40+x+50 = 180
-3x +90 = 180
-3x = 90
x= -30
measure of A = -4(-30) +40 = 160
measure of B = -30+50 = 20
