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Answers to Assignment 1 Winter 2013 (Autosaved).zip

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Department
Economics (Arts)
Course
ECON 227
Professor
Kenneth Mac Kenzie
Semester
Winter

Description
Answers to Assignment 1 Winter 2013 1. Column1 amount Column2 income Mean 31.6 Mean 36.8 Standard Error 8.163537 Standard Error 2.690725 Median 20 Median 35 Mode 5 Mode 35 Standard Standard Deviation 40.81768 Deviation 13.45362 Sample Variance 1666.083 Sample Variance 181 Kurtosis 12.58306 Kurtosis 3.368873 Skewness 3.30969 Skewness 1.604541 Range 195 Range 60 Minimum 5 Minimum 20 Maximum 200 Maximum 80 Sum 790 Sum 920 Count 25 Count 25 a) H0:  1 2 H a  1 2 T-Test of difference = 0 (vs not =): Test statistic = -0.60 DF = 29 t=2.045 Do not eject the null hypothesis. The means are not significantly different. 40.82 b) 31.61.711  31.613.97 25 2. a) H 0 p  0.57 H : p  0.57 a 0.600.57 test statistic  0.570.43 1000 pvalue P(Z 1.92) 10.9726 0.0274 0.05 Reject the null hypothesis. The proportion is significantly greater than 0.57. b) H 0 p1 p 2 H : p  p a 1 2 test statistic  0.610.56 1.28 0.610.39 0.560.44  800 200 critical Z 1.645 Do not reject the null hypothesis. The from-Montreal proportion is not significantly greater than the not-from-Montreal proportion. c) H 0 gender and domicile are independent H a gender and domicile are dependent Expected counts are printed below observed counts Chi-Square contributions are printed below expected counts Total 488 112 600 480.00 120.00 0.133 0.533 312 88 400 320.00 80.00 0.200 0.800 Total 800 200 1000 Chi-Sq = 1.667, DF = 1 critical value from table = 3.841 Do not reject the null hypothesis. Being from Montreal does not depend significantly on whether the person is male or female. d) 1 H 0 pA p Rp  P 3 1 H a at least one of the proportions is different from 3 Chi-square, DF = 2 O i 300 340 360 E : 1000/3 1000/3 1000/3 i Chi-Square Goodness-of-Fit Test for Observed Counts in Variable: C1 Test Contribution Category Observed Proportion Expected to Chi-Sq 1 300 0.333333 333.333 3.33333 2 340 0.333333 333.333 0.13333 3 360 0.333333 333.333 2.13333 N DF Chi-Sq 1000 2 5.6 critical table value =5.991 Do not reject the null hypothesis. There is no significant difference in party preference. 1 0.3 3 e) Two-tailed test, test statistic =  2.24
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