ECO220Y1 Midterm: ECO220Y1Y UTSG Term Test 220 4 MAR18 Solution
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ECO220Y1 Full Course Notes
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Given (cid:1872)= 1. 38 and (cid:2021)=826, we consult the student t table, which for either 750 or 1,000 degrees of freedom indicates that that test statistic is between (cid:1872)(cid:2868). (cid:2869)(cid:2868) and (cid:1872)(cid:2868). (cid:2868)(cid:2873). The difference of 6 percentage points 81% of male lawyers are married whereas only 75% of female lawyers are is big enough to be economically significant. Hence, the difference is significant overall. (c) given the reported p-value of 0. 59, the difference in tenure is not statistically significant at even a 10% significance level. For (cid:2009)=0. 05, we will need (cid:1878)>1. 645, where (cid:1878)= (cid:3017)(cid:3552)(cid:2879)(cid:3043)(cid:3116) (cid:3495)(cid:3291)(cid:3116)((cid:3117)(cid:3127)(cid:3291)(cid:3116)) (cid:3289) where (cid:1842)(cid:3552)(cid:3030). (cid:3049). =0. 231. Hence, we need a sample proportion of at least 23. 1% to prove that more yields: 1. 645= (cid:3017)(cid:3552)(cid:3278). (cid:3297). (cid:2879)(cid:2868). (cid:2870) (cid:3495)(cid:3116). (cid:3118)((cid:3117)(cid:3127)(cid:3116). (cid:3118)) (cid:3120)(cid:3120)(cid:3117) We are 95% confident that male lawyers on average have from 0. 3 to 0. 5 more children than female lawyers. Plugging in and solving for the critical value (cid:3041)(cid:3118) +(cid:3017)(cid:3552)(cid:3117)((cid:2869)(cid:2879)(cid:3017)(cid:3552)(cid:3117)) (cid:3041)(cid:3117) =(0. 74 0. 66) 1. 645(cid:3495)(cid:2868). (cid:2875)(cid:2872)((cid:2869)(cid:2879)(cid:2868). (cid:2875)(cid:2872)) (cid:2877)(cid:2868)
