A major health care organization conducted a study relating the risk of heart attack to a patient's age, blood pressure, and HDL cholesterol. They have hypothesized the following relationship:
Y = ?_{0} + ?_{1}X_{1} + ?_{2}X_{2} + ?_{3}X_{3}
where Y is heart attack risk, X_{l} is patient's age, X_{2} is blood pressure, and X_{3}is HDL level. Data are collected and a regression relationship is determined through the use of the computer. The following Excel output is obtained:
Regression
Statistics ANOVA df SS MS F Significance
F
Multiple
R .828 Regression 3 3201.82
1067.27
11.66 .0003
R
Square .686 Residual
(Error) 16 1464.98 91.56
Standard
Error 9.57 Total 19 4666.80
Observations 20
Coefficients Standard
Error tStat PValue
Intercept 101.92  

X_{1 }1.1400 0.2554 4.463 .0004
X_{2 }0.3521 0.0744 4.367 .0005
X_{3 }
0.0935 0.3108 
0.301 .7674
The result of conducting a hypothesis to determine if the relationship between heart attack risk and HDL Level is significant at the alpha=0.05 level is
A. 
0.7674>.05, Reject H_{0} , Relationship is significant. 

B. 
0.7674>.05, Reject H_{0} , Relationship is not significant. 

C. 
0.7647>.05, Accept H_{0} , Relationship is significant. 

D. 
0.7674>.05, Accept H_{0} , Relationship is not significant. 
We want to test the result of conducting a hypothesis to determine if the relationship between heart attack risk and HDL level is significant at the alpha =0.05 level.
Here, pvalue for this test is 0.7646 and it is hreater than alpha
That is, 0.7646 > 0.05
Thus, ot implies that, we fail to reject H0 ( Accept H0 ) and there is not a sognificant relationship between heart attack risk and HDL level.
Answer: D) 0.7646 > 0.05, Accept H0, Relationship is not significant.
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