Question

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 |
---|---|

Ford Focus | 92 |

Hyundai Elantra | 65 |

Honda Civic | 81 |

Toyota Corolla | 53 |

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

_____

Find the *p*-value. (Round your answer to four decimal
places.)

*p*-value =___

Answer #1

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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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
108
Ford Focus
92
Hyundai Elantra
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