2. For the following research questions, write (i) what hypothesis test you woul

Question

2. For the following research questions, write (i) what hypothesis test you would use to analyze it, and (ii) what are your hypotheses. Be sure to write all of your hypotheses, including interactions if applicable.

               a. Is BMI significantly, linearly related to systolic blood pressure? (0.75pt)

b. Do elementary, middle, or high school students take more steps in one day? (0.75pt)

c. Do hypertension (recorded as 1=has hypertension, and 0=doesn’t have hypertension), income, and their interaction predict age at death? (1.75pt)

d. Do sex, race, and their interaction predict weight? (1.75pt)

Explanation / Answer

(a)

The test to be used is t-test for correlation coefficient.

H0: BMI and systolic blood pressure are independent

H1: BMI and systolic blood pressure are linearly dependent.

(b)

The test to be applied os one way anova

H0: mean of steps by elementary school students= mean by middle school students = mean by high school students.

H1: at least two of the means differ

(c)

F-test for regression coefficient can be used.

H0: HYPERTENSION, income and their interaction can't predict age at death

H1: Hypertension, income and interaction can't predict age at death.

(d)

F-test for regression can be used.

H0: Sex, race and their interaction can't predict weight

H1: Sex, race and their interaction can predict weight.

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