Spending on Public Education and SAT Math Scores Objective: In 1990s, it was con

Question

Spending on Public Education and SAT Math Scores Objective: In 1990s, it was controversial that spending on public education was effective on SAT math scores in the United State. Our goal is to test for a positive association between average SAT math score and spending on public education. Below the description of each column is given. state. States in the US. (and Washington, D.C.) SATM. Average SAT math score of graduating high-school students. percent. Percentage of graduate high-school students took the SAT exam. dollars. Spending on public education in S1000s per student. a. Let X be the explanatory variable which of the following is correct in the context of our problem? i. X = average SAT math score ii. X =spending on public education iii. X = percentage of exam taker b. Let Y be the response variable. Which of the following is correct in the context or our problem? i. Y = average SAT math score ii. Y = spending on public education iii. Y= percentage of exam taker c. Let us assume the linear model Y = beta_0 + beta_1 X + to address our goal. State the null hypothesis H_0 and the alternative to hypothesis H_1 in terms of beta_1.

Explanation / Answer

a) Option ii) is correct. Spending on public eduation is explanatory variable since we are trying to establish whether spending more on public education has an association with increase in average SAT math score.

b) Option i) is correct. Average SAT math score is the response variable here.

c) Null hypothesis = H0 = Spending on public education has no effect on average SAT math score

Alternative hypothesis = Ha = Spending on public education has positve effect on average SAT math score

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