A clothing manufacturer traditionally makes sweatshirts from three different fabrics: A,B and C.Over the years,the percentages sold of each fabric were 50,35,and 15,respectively.Recently,the manufacturer began producing running suits from the same three fabrics.During the first three months of production,the company received orders for 6,500 suits made from fabric A,3,400 from fabric B,and 2,700 from fabric C.What is the appropriate test to determine whether sales results of the new running suit are similar to what would be expected given the previous sales history of sweatshirts made of the three fabrics?

Question

Quizplus · Accepted Answer

The appropriate test to determine whether sales results of the new running suits are similar to what would be expected given the previous sales history of sweatshirts made of the three fabrics is the chi-square test. This test is used for comparing observed frequencies to expected frequencies and determining whether they are significantly different. In this case, we can calculate the expected frequencies by multiplying the total number of running suits by the percentage of each fabric sold historically. Then, we can compare these expected frequencies to the actual frequencies for each fabric using the chi-square test.

A Clothing Manufacturer Traditionally Makes Sweatshirts from Three Different Fabrics