Sylvia is running a research study to examine whether number of books in the home (X) can predict young children's reading ability (Y). She wants to use an alpha level of 0.05. Below is the output of her supernova model, where the complex model allows X to predict Y, and the simple model does not include X. What conclusion should she make, and why? > supernova(complexmodel) Analysis of Variance Table (Type 111 SS) Model: reading ~ books SS df MS F PRE p ____________________ ' _________ __ ________ _____ ______ _____ Model (error reduced) i 4214.066 1 4214.066 9.975 0.0924 .0021 Error (from model) i 41401.758 98 422.467 ____________________ ' _________ __ ________ _____ ______ _____ Total (empty model) i 45615.824 99 460.766 Sylvia should retain the simple model, because the data is not very likely if the complex model is true. Sylvia should reject the simple model, because the data is not very likely if the simple model is true. Sylvia should reject the simple model, because it's not very likely that the true DGP is the simple model. Sylvia should retain the simple model, because it's not very likely that the true DGP is the complex model