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13.28 Chi-Square Goodness-Of-Fit-Test

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Apply the Chi-square goodness-of-fit test, using either the critical-value approach or the p-value approach, to perform the required hypothesis test.

13.28 The American Automobile Manufacturers Association compiles data on U.S. car sales by type of car. Following is the 1990 distribution, as reported in the World Almanac.

Type of car Small Midsize Large Luxury
% 32.5 44.8 9.4 13.0

A random sample of last year's U.S. car sales yeilded teh following data.

Type of car Small Midsize Large Luxury
Frequency 133 249 47 71

a. Identify the population and variable under consideration.

b. At the 5% significance level, do the data provide sufficient evidence to conclude that last year's type-of-car distribution for U.S. car sales differs from the 1990 distribution?

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Solution Summary

Chi-square goodness-of-fit test applied.

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