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goodness of fit 5. a buyer for a t-shirt shop wants to compare the proportion of t-shirts of each size that are sold to the proportion that were ordered. the buyer counts the number of t-shirts of each size that are sold in a week. size sold small medium 25 41 large 91 extra large 68 percentage ordered 10% 20% 40% 30% does the distribution of the sold items follow the distribution of the ordered items? state the conclusion.

Answer :

The buyer concludes that there is not a significant difference between the observed t-shirt sales and the expected t-shirt sales.

Given :

goodness of fit 5. a buyer for a t-shirt shop wants to compare the proportion of t-shirts of each size that are sold to the proportion that were ordered. the buyer counts the number of t-shirts of each size that are sold in a week.

Test :

Test             Contribution

Category     Observed  Proportion  Expected  to Chi-Square

Small              25                  0.1           22.5       0.277778

Medium          41                  0.2           45.0       0.355556

Large              91                  0.4           90.0       0.011111

Extra Large    68                  0.3           67.5       0.003704

The overall chi-square statistic is 0.648 and has a p-value of 0.885. Because the p-value is greater than the significance level of 0.05, the buyer fails to reject the null hypothesis.

Learn more about the hypothesis here :

https://brainly.com/question/29576929

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