2. Determine the null and alternative hypotheses for the study that produced the

Question

2. Determine the null and alternative hypotheses for the study that produced the data in the table.

A researcher performed a study to determine whether an association exists between retirement age and career. She obtained the following sample data.

A. The slope coefficient of x1 is 6. This indicates that will increase 6 units, on average, for every 1-unit increase in x1, provided that x2remains constant. The slope coefficient of x2 is -8. This indicates that will decrease 8 units, on average, for every 1-unit increase in x2, provided that x1 remains constant. B. The slope coefficient of x1 is 8. This indicates that will increase 8 units, on average, for every 1-unit increase in x1, provided that x2remains constant. The slope coefficient of x2 is -6. This indicates that will decrease 6 units, on average, for every 1-unit increase in x2, provided that x1 remains constant. C. The slope coefficient of x1 is -6. This indicates that will decrease 6 units, on average, for every 1-unit increase in x1, provided that x2remains constant. The slope coefficient of x2 is 8. This indicates that will increase 8 units, on average, for every 1-unit increase in x2, provided that x1 remains constant.

D. The slope coefficient of x1 is -8. This indicates that will decrease 8 units, on average, for every 1-unit increase in x1, provided that x2remains constant. The slope coefficient of x2 is 6. This indicates that will increase 6 units, on average, for every 1-unit increase in x2, provided that x1 remains constant.

2. Determine the null and alternative hypotheses for the study that produced the data in the table.

A researcher performed a study to determine whether an association exists between retirement age and career. She obtained the following sample data.

A. H0: There is some relationship between age at retirement and career.
Ha: Age at retirement and career are not independent. B. H0: There is some relationship between age at retirement and career.
Ha: Age at retirement and career are independent. C. H0: Age at retirement and career are independent.
Ha: There is some relationship between age at retirement and career. D. H0: Age at retirement and career are independent.
Ha: There is no relationship between age at retirement and career.

Explanation / Answer

Answer:

Model is Y = 2 + 6X1 - 8X2

(1) The slope coefficient of x1 is 6. This indicates that Y will increase 6 units, on average, for every 1-unit increase in x1, provided that x2remains constant. The slope coefficient of x2 is -8. This indicates that Y will decrease 8 units, on average, for every 1-unit increase in x2, provided that x1 remains constant.

(2)  H0: There is some relationship between age at retirement and career.
Ha: Age at retirement and career are independent.

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