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, X_l 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

	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.

Answer 1

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.