Question

Bike lanes were implemented to reduce the number of a Long Beach. To test the effectiveness of this measure the following city-wide accident used: 4) ccidents on certain locations in the City of data were Before implementation 30 32 30 31.0 1.15 After implementation 28 27 25 26.7 1.53 Year 1 Year 2 Year 3 Mean Stadard Deviation Use the t-test to determine the effectiveness of bike lanes at 5% level of significance. State the null and alternative hypotheses, and your conclusion. (15 points) t-table: q 0.6 0.75 0.9 0.95 0.975 0.99 0.995 0.9975 0.999 0.9995 n#1103249 1.0000 3.078 6.314 12.706 31.821 63.657 127.321 318.309 636.619 2 0.2887 0.8165 1.886 2.920 4.303 6.965 9.925 14.089 22.327 31.599 0.2767 0.7649 1.638 2.353 3.182 4.541 5.841 7453 10.215 12 924 4 0.2707 0.7407 1.533 2.132 2.776 3.747 4.604 5.598 7.173 8.610 5 0.2672 0.7267 1.476 2.015 2.571 3,365 4.032 4.773 5.893 6.869 6 102648 0.7176 1440 1.943 2447 3.143 3.707 4317 5208 959

Answer 1

STEP I: HYPOTHESTS TNULL HYPOTHESTS (H): BIKE LANES REDUCED NUMBER OF ACCTDENT TERNATIVE HYPOTHESIS(H,): BIE LANES DIDNOT REDUCE NUMBER OF ACC TDENTS. STEPII: t-TESTING 2. 町2 & : VARIANCE n, & n2 SAMPLE STZE S0, 3o-26:73. 891 3 DEGREE oP PREEDOM (n)23+3-2 4 THE TABLE TS GTVEN FOR ONE TAILED t 2.776 CCORRESPONDING TDR0.978) FROM TA BLE IS LESS THAN t-CALCULATED. So, Ho IS REJEC TED STEPⅢI CONCLUSION. H, IS ACC EPTED ve. CON STRVCT TON OF BTKE LANES DED NDT TO REDUCTION IN NUMBER OF ACCIDENTS