A major health care organization conducted a study relating the risk of heart at
ID: 2909732 • Letter: A
Question
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 + ?1X1 + ?2X2 + ?3X3
where Y is heart attack risk, Xl is patient's age, X2 is blood pressure, and X3is 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 t-Stat P-Value
Intercept -101.92 - - -
X1 1.1400 0.2554 4.463 .0004
X2 0.3521 0.0744 4.367 .0005
X3 -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
0.7674>.05, Reject H0 , Relationship is significant.
0.7674>.05, Reject H0 , Relationship is not significant.
0.7647>.05, Accept H0 , Relationship is significant.
0.7674>.05, Accept H0 , Relationship is not significant.
A.0.7674>.05, Reject H0 , Relationship is significant.
B.0.7674>.05, Reject H0 , Relationship is not significant.
C.0.7647>.05, Accept H0 , Relationship is significant.
D.0.7674>.05, Accept H0 , Relationship is not significant.
Explanation / Answer
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, p-value 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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