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f) (3 Points) Suppose you were able to conduct a randomized control trial with an additional 500 Phoenix-area homes in which you randomly assign half

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f) (3 Points) Suppose you were able to conduct a randomized control trial with an additional 500 Phoenix-area homes in which you randomly assign half of the homes to receive low-emission induction cooktops and the other half to retain their gas stoves. To estimate the effect of stove replacement on indoor air quality, you estimate the following model: A A A A A A A AQI = [30 + ITreated + zMultistory + [Sqft + 4Bdrms + ,65 HHsize Where Treated is a dummy variable :1 for treated homes, Multistory a dummy variable :1 for homes with 2 or more floors, Sqft the indoor square footage, Bdrms the number of bedrooms, and HHsize the number of family members living in the home. TRUE or FALSE: failing to control for home characteristics like multiple stories, square footage, bedrooms, and household size will introduce omitted variable bias on [91 as these variables are important for determining indoor air quality levels. State TRUE or FALSE and explain in a maximum of two sentences

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