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Gummy bears: red or yellow? Chance (Winter 2010) presented
Chapter 7, Problem 72E(choose chapter or problem)
Problem 72E
Gummy bears: red or yellow? Chance (Winter 2010) presented a lesson in hypothesis testing carried out by medical students in a biostatistics class. Students were blind-folded and then given a red-colored or yellow-colored gummy bear to chew. (Half the students were randomly assigned to receive the red gummy bear and half to receive the yellow bear. The students could not see what color gummy 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 gummy bear.
a. If there is no relationship between color and gummy bear flavor, what proportion of the population of students will correctly identify the color?
b. Specify the null and alternative hypothesis for testing whether color and flavor are related.
c. Carry out the test and give the appropriate conclusion at α =.01. Use the p -value of the test to make your decision.
Questions & Answers
QUESTION:
Problem 72E
Gummy bears: red or yellow? Chance (Winter 2010) presented a lesson in hypothesis testing carried out by medical students in a biostatistics class. Students were blind-folded and then given a red-colored or yellow-colored gummy bear to chew. (Half the students were randomly assigned to receive the red gummy bear and half to receive the yellow bear. The students could not see what color gummy 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 gummy bear.
a. If there is no relationship between color and gummy bear flavor, what proportion of the population of students will correctly identify the color?
b. Specify the null and alternative hypothesis for testing whether color and flavor are related.
c. Carry out the test and give the appropriate conclusion at α =.01. Use the p -value of the test to make your decision.
ANSWER:
Solution
Step 1 of 3
a) We have to find the proportion of the students who correctly guess the colour
If there is no relationship between colour and gummy bear flavour
0.5 of the proportion of the population of the students correctly identify the colour