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ad  bc

a  b c  d a  c b  d 
 Significance

testing:
 Use chi-square table
› N = number of participants
› df = 1 (always)
Country
Denmark

Total

36b
(31%)

21c

79d

(25%)

Suspicious

64a
(75%)

Attitudes of
People
Trusting

France

(69%)

85 (100%)

115(100%)
• 75%

percent of Danish
sampled(64/85*100) were trusting,
whereas 31 % of French sampled
(36/115*100) were trusting.

• Approximately

25% (21/85*100) of Danish
were suspicious, whereas 69%
(79/115*100) of French were suspicious.
HO (φ) =0
 HA (φ) ≠ 0


In plain English, null hypothesis means
attitude of people and national origin
are independent of one another, they
don’t influence each other.
 Alternative hypothesis- attitude of
people and national origin are
dependent on one another, they do, in
fact, influence each other.




Significance testing:
Use chi-square table
› N = number of participants
› df = 1 (always) for 2X2 table
› Why?? (r-1) (c-1) where r=rows and c= columns.
In 2X2 table there are 2 rows and 2 columns;
› (2-1) (2-1)=1X1=1
› For .05 level of significance and 1 df, critical
value =3.84;
› For .01 level of significance and 1 df, critical
value =6.63;
› If Chi obtained is greater than critical value, we
reject null hypothesis of independence between
the variables.
Training

Stimulus

Food as Reward

Affection as Reward

28a

48b

(74%)

(30%)

10c

114d

Could They Dance
After Stimulus
Presented?
Yes
No

(26%)

Total

38 (100%)

(70%)
162 (100%)
Test the significance of correlation
between sex and opinion on capital
punishment at 0.05 level of significance.
Use the table given below.
Sex

Female
Opinion

Male

total

For

15

9

24

Against

10

17

27

Total

25

26

51
Test statistics for testing the significance of
phi coefficient is given by:
z = r n

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Phi (φ) Correlation

  • 2.  ad  bc a  b c  d a  c b  d 
  • 3.  Significance testing:  Use chi-square table › N = number of participants › df = 1 (always)
  • 5. • 75% percent of Danish sampled(64/85*100) were trusting, whereas 31 % of French sampled (36/115*100) were trusting. • Approximately 25% (21/85*100) of Danish were suspicious, whereas 69% (79/115*100) of French were suspicious.
  • 6. HO (φ) =0  HA (φ) ≠ 0  In plain English, null hypothesis means attitude of people and national origin are independent of one another, they don’t influence each other.  Alternative hypothesis- attitude of people and national origin are dependent on one another, they do, in fact, influence each other. 
  • 7.   Significance testing: Use chi-square table › N = number of participants › df = 1 (always) for 2X2 table › Why?? (r-1) (c-1) where r=rows and c= columns. In 2X2 table there are 2 rows and 2 columns; › (2-1) (2-1)=1X1=1 › For .05 level of significance and 1 df, critical value =3.84; › For .01 level of significance and 1 df, critical value =6.63; › If Chi obtained is greater than critical value, we reject null hypothesis of independence between the variables.
  • 8. Training Stimulus Food as Reward Affection as Reward 28a 48b (74%) (30%) 10c 114d Could They Dance After Stimulus Presented? Yes No (26%) Total 38 (100%) (70%) 162 (100%)
  • 9. Test the significance of correlation between sex and opinion on capital punishment at 0.05 level of significance. Use the table given below. Sex Female Opinion Male total For 15 9 24 Against 10 17 27 Total 25 26 51
  • 10. Test statistics for testing the significance of phi coefficient is given by: z = r n