Answer:
Degree of freedom = 2
Expected frequency = 80%
Critical value, = 5.991
χ² statistic = 3.5
Step-by-step explanation:
Given the data :
Hong Kong New York Paris
Yes 86% 76% 78%
No 14% 24% 22%
The degree of freedom for the Chisquare statistic is given as :
(no of rows - 1) * (number of columns - 1)
Number of rows = 2
Number of columns = 3
. Degree of freedom = (2-1) * (3-1) = 1*2 = 2
Expected frequency = (Row total * column total) / grand total
The expected frequency of Hong Kong / Yes cell :
Row total = (86+76+78) = 240
Column total = (86+14) = 100
Grand total, N = (14+24+22)+240 = 300
Expected frequency = (240*100)/300 = 80%
The critical value :
At α - level = 0.05 ; df = 2
Critical value = 5.991
χ² = Σ(observed - Expected)² / Expected
The expected values :
80 80 80
20 20 20
Hence,
χ² = Σ(86-80)²/80 + (76-80)²/80 + (78-80)²/80 + (14-20)²/20 + (24-20)²/20 + (22-20)²/20
χ² statistic = 3.5
Answer:
smallest angle measure 39 degrees
Step-by-step explanation:
the sum of the three interior angles in a triangle is always 180°
x= smallest
x +x+24 + 2x = 180
4x +24 = 180
4x = 156
x = 39
The activity series is an arrangement of species in order of reactivity.
<h3>What is the activity series?</h3>
The activity series is an arrangement of species in order of reactivity. The position of a specie in the series determines the possibility of certain reactions.
The following are the fates of these reactions;
- 2NaBr + I2--------->2NaI + Br2 - Not possible
- 2Fe + Al2O3 ----------> 2Al + Fe2O3 - Not possible
- 2AgNO3 + Ni ----------> Ni(NO3)2 + 2Ag - possible
- Pb + Zn(C2H3O2)2 ----------> Zn + Pb(C2H3O2)2 - Not possible
Learn more about activity series:brainly.com/question/18080147
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