Chapter 7.6, Problem 7.72ACB

Gummi Bears: Red or yellow? Companies that produce candies typically offer different colors of their candies to provide consumers a choice. Presumably, the consumer will choose one color over another because of taste. Chance (Winter 201 0) presented an experiment designed to test this taste theory. Students were blindfolded and then given a red or yellow Gummi Bear to chew. (Half the students were randomly assigned to receive the red Gummi Bear and half to receive the yellow Bear. The students could not see what color Gummi Bear they were given.) After chewing, the students were asked to guess the color of the candy based on the flavor. Of the 121 students who participated in the study, 97 correctly identified the color of the Gummi Bear.

1. a. If there is no relationship between color and Gummi Bear flavor, what proportion of the population of students would correctly identify the color?
2. b. Specify the null and alternative hypotheses for testing whether color and flavor are related.
3. c. Carry out the test and give the appropriate conclusion at α = .01.. Use the p-value of the test, shown on the accompanying SPSS printout, to make your decision.

Binomial Test