Question

2) A factory recently took a sample to assess the quality of its candy output, looking at three different types of candy, and how many of each type of candy were damaged during the manufacturing process:

Candy # damaged Total # candies counted

Apple hard candy 15 50

Chocolate chew 18 50

Nut cluster 30 100

The factory management would like to determine whether the proportion of candy that is damaged is different for these three types of candy.

a) Construct a contingency table for these data.

b) Is the proportion of candy that is damaged different for these three types of candy?

(Calculate the appropriate statistic, give the p-value, and state your conclusion.)

Answer 1