MPG City/Hwy Eng Displ (L combined Region Carline Model Year Mfr Name A PRIUS c

Question

MPG City/Hwy Eng Displ (L combined Region Carline Model Year Mfr Name A PRIUS c 1.5 50 2013 Toyota 2013 Toyota A PRIUS 1.8 50 2013 Ford Motor Compar NA FUSION HYBRID FWD 2.0 47 NA Jetta Hybrid 1.4 45 2013 Volkswagen 2013 Ford Motor Compar NA MKz HYBRID FWD 2.0 45 A CIVIC HYBRID 1.5 44 2013 Honda 2013 Ford Motor Compar NA C-MAX Hybrid FWD 2.0 43 A INSIGHT 1.3 42 2013 Honda A INSIGHT 1.3 42 2013 Honda 2013 Toyota A CT 200h 1.8 42 A PRIUS v 1.8 42 2013 Toyota 2013 Toyota A CAMRY HYBRID LE 2.5 41 A ES 300h 2.5 40 2013 Toyota A AVALON HYBRID 2.5 40 2013 Toyota 2013 Toyota A CAMRY HYBRID XLE 2.5 40 A ILX 1.5 38 2013 Honda A SONATA HYBRID 2.4 38 2013 Hyundai 2013 Kia A OPTIMA HYBRID 2.4 38 A CR-Z 1.5 37 2013 Honda 2013 Toyota A iQ 1.3 37 2013 Hyundai A SONATA HYBRID LIMITED 2.4 37 2013 Kia A OPTIMA HYBRID EX 2.4 37 1.0 36 2013 Mercedes-Benz NA Smart fortwo (Convertible) 2013 Mercedes-Benz NA smart fortwo (COUPE) 1.0 36 A VERSA 1.6 35 2013 Nissan NA Passat 2.0 35 2013 Volkswagen A CR-Z 1.5 34 2013 Honda 2013 Chrysler Group LLC NA 500 1.4 34 2013 General Motors NA SPARK 1.2 34 NA GOLF 2.0 34 2013 Volkswagen NA GOLF 2.0 34 2013 Volkswagen NA Jetta 2.0 34 2013 Volkswagen

Explanation / Answer

from the above data,

the numbers of cars from ASIA (A) = 20

NA cars = 12

Total cars = 32

Null hypothesis: No of Asia cars = No of Non asia cars

Alternate hypothesis: No of Asia cars > No of non asia cars

We should do one tailed Z test

p = 20/32 = 0.625, q = 0.375

standard deviation = Npq = 32*0.625*0.375 = 7.5

Rejection region of Statistic of Z at 95% CI = 1.645

Z = (X-X0)/ (s/sqrt(n))

Z = (20-16)/(7.5/sqrt(32))

Test static value = 3.016

d) p value is 0.001281 for given Z value and 95% one tailed value

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