A researcher is interested in finding out the factors which determined the yearly spending on family outings last year (Y, measured dollars). She compiles data on the number of members in a family (X,), the annual income of the family (X2), and the number of times the family went out on an outing in the last year (Xg). She collects data from 196 families and estimates the following regression: Ý= 146.34 + 1.54X, + 1.05X, + 1.98X. Suppose . 2. ßz, denote the population slope coefficients of X4, X2, and X3, respectively. The researcher wants to check if neither X, nor X, have a significant effect on Y or at least one of them has a significant effect, keeping X, constant. She calculates the value of the F-statistic for the test with the two restrictions (Ho: B =0, 2 = 0 vs. H,: B, #0 and / or , #0) to be 3.00. The p-value for the test will be. (Round your answer to two decimal places.) At the 10% significance level, we will v the null hypothesis.

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