National percentages concerning color perference

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For the past year, national percentages of people's preference in car color are as follows:

White 35%, Silver 28%, Blue 24%, Red 10%, Other 3%

Of the 9,587 people who bought cars in San Jose recently, the following is the record of colors:

White 3,739; Silver 2876; Blue 2,109; Red 760; Other 103

Use the "Goodness of Fit Test" and the Chi Square distribution to select the most correct statement given below.

1. In the Goodness of Fit Test using the Chi Squared distribution, the test statistic = 43.84, the p-value = 6.80, therefore support the Ho and conclude that the San Jose' survey percentages are consistant with the national percentages concerning color perference.

2. In the Goodness of Fit Test using the Chi Squared distribution, the test statistic = 43.84, the p-value = 6.80, therefore support the Ho and conclude that the San Jose' survey percentages are consistant with the national percentages concerning color perference.

3. In the Goodness of Fit Test using the Chi Squared distribution, the test statistic = 43.84, the p-value = 0, therefore reject the Ho and conclude that the San Jose' survey percentages are different from the national percentages concerning color perference.

4. In the Goodness of Fit Test using the Chi Squared distribution, the test statistic = 43.84, the p-value = 0, therefore reject the Ho and conclude that the San Jose' survey percentages are the same as the national percentages concerning color perference.

Reference no: EM131994863

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