Question

# Based on sales over a six-month period, the five top-selling compact cars are Chevy Cruze, Ford...

Based on sales over a six-month period, the five top-selling compact cars are Chevy Cruze, Ford Focus, Hyundai Elantra, Honda Civic, and Toyota Corolla.† Based on total sales, the market shares for these five compact cars were Chevy Cruze 24%, Ford Focus 21%, Hyundai Elantra 20%, Honda Civic 18%, and Toyota Corolla 17%. Suppose a sample of 400 compact car sales in one city showed the following number of vehicles sold.

 Chevy Cruze 109 92 65 81 53

Find the value of the test statistic. (Round your answer to three decimal places.)

_____

p-value =___

use formula E[x] = total cars (n) * proportion (p) for expected value

 Category Observed Expected Chevy Cruze 109 0.24*400 = 96 Ford Focus 92 0.24*400 = 84 Hyundai Elantra 65 0.2*400 = 80 Honda Civic 81 0.18*400 = 72 Toyota Corolla 53 0.17*400 = 68 total 400

degree of freedom = number of categories -1 = 5-1 = 4

use TI 84 calculator

Enter Observed values in L1 and expected values in L2 [STAT --> EDIT --> Lists ]

To find test statistic, STAT --> TESTS -->

Observed : [A]

Expected : [B]

df = 4

Press Calculate

Result is = 9.769

p value = 0.0445

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