A company is started by four friends. The company was Erica’s idea, so she wants to fill 70 percent of the orders. Jen, Heather, and Tonya each agree to fill 10 percent 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. 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. What is the name of the appropriate inference procedure?
Answer
A
two-sample t - test for a difference in means
B
one-sample t - test for a difference in means
C
chi-square test for goodness of fit
D
two-sample z - test for a difference in proportions
Explanation
The sample records which of four categories filled each order: Erica, Jen, Heather, or Tonya. Erica is checking whether the observed category counts match the agreed-upon proportions of 70%, 10%, 10%, and 10%, so the appropriate procedure is a chi-square test for goodness of fit. The t-tests compare means, while a two-sample z-test compares proportions between two groups.
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