A company is started by four friends. The company was Erica’s idea, so she wants to fill 70% of the orders. Jen, Heather, and Tonya each agree to fill 10% of the orders. After a successful first year, Erica wants to determine if the distribution of the number of orders filled is adhering to the agreed-upon percentages. She decides to test: To do so, she selects a random sample of 100 orders from the large number of orders that were filled and determines who filled the order. She finds that Erica filled 56 orders, Jen filled 18, Heather filled 14, and Tonya filled 12. The chi-square test statistic for goodness of fit is χ2 = 11.20 and the P-value is between 0.01 and 0.02. Do the data provide convincing evidence that the distribution of the number of orders filled is not adhering to the agreed-upon percentages? Use a = 0.05. Yes. Because the P-value is less than the significance level there is convincing evidence that the distribution of the number of orders filled is adhering to the agreed-upon percentages. Yes. Because the P-value is less than the significance level there is convincing evidence that the distribution of the number of orders filled is not adhering to the agreed-upon percentages. No. Because the P-value is less than the significance level there is convincing evidence that the distribution of the number of orders filled is adhering to the agreed-upon percentages. No. Because the P-value is less than the significance level there is not convincing evidence that the distribution of the number of orders filled is not adhering to the agreed-upon percentages.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A company is started by four friends. The company was Erica’s idea, so she wants to fill 70% of the orders. Jen, Heather, and Tonya each agree to fill 10% of the orders. After a successful first year, Erica wants to determine if the distribution of the number of orders filled is adhering to the agreed-upon percentages. She decides to test:

To do so, she selects a random sample of 100 orders from the large number of orders that were filled and determines who filled the order. She finds that Erica filled 56 orders, Jen filled 18, Heather filled 14, and Tonya filled 12. The chi-square test statistic for goodness of fit is χ² = 11.20 and the P-value is between 0.01 and 0.02. Do the data provide convincing evidence that the distribution of the number of orders filled is not adhering to the agreed-upon percentages? Use a = 0.05.

Yes. Because the P-value is less than the significance level there is convincing evidence that the distribution of the number of orders filled is adhering to the agreed-upon percentages.

Yes. Because the P-value is less than the significance level there is convincing evidence that the distribution of the number of orders filled is not adhering to the agreed-upon percentages.

No. Because the P-value is less than the significance level there is convincing evidence that the distribution of the number of orders filled is adhering to the agreed-upon percentages.

No. Because the P-value is less than the significance level there is not convincing evidence that the distribution of the number of orders filled is not adhering to the agreed-upon percentages.

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