gabriieldelacruz16
18.03.2021 •
Mathematics
Friedman and Rosenman have suggested that personality type isrelated to heart disease. specifically, type A people, who arecompetitive, driven, pressured and impatient are more prone toheart disease. on the other hand, type B people, who are lesscompetitive and more relaxed are less likely to have heart disease.suppose that an investigator would like to examine the relationshipbetween personality type and disease. for a random sample ofindividuals, personality type is assessed witha standardizedtest. these people are then examined and categorized as to whetherthey have a heart disorder. the observed frequencies are asfollows: noheart disease heartdiseaseTypeA 32 18 50TypeB 128 22 150 160 40is there any relationship between personality and disorder? testat the .05 level of significance.
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Ответ:
since p value(0.001091 ) is less than less than alpha(0.05)
null hypothesis H₀ is rejected.
Hence, we conclude that there is a relationship between personality and disorder.
Step-by-step explanation:
Given the data in the question;
non-heart disease heart disease total
TypeA 32 18 50
TypeB 128 22 150
total 160 40
level of significance ∝ = 0.05
H₀ : There is no relationship between personality and disorder
H₁ : There is a relationship between personality and disorder
so
the computational table for x²
E₁ = 50×160 / 200 = 40
O E O-E (O-E)² (O-E)² /E
32 40 -8 64 1.6
18 10 8 64 6.4
128 120 8 64 0.5333
22 30 -8 64 2.133
∑ 10.667
so
X² = ∑( (O-E)² /E ) = 10.667
The contingency table is 2×2, since there are 2 rows and 2 columns
df = (2-1)(2-1) = 1
P Value from Chi-Square Calculator
Chi-square score: 10.667
DF : 1
p-value = 0.001091
since p value(0.001091 ) is less than less than alpha(0.05)
null hypothesis H₀ is rejected.
Hence, we conclude that there is a relationship between personality and disorder.
Ответ: