A magazine 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 137 students who participated in the study, 94 correctly identified the color of the gummy bear. Complete parts a through c below. (Round to three decimal places as needed.) Make a conclusion. Choose the correct answer below. O A. Reject the null hypothesis. There is sufficient evidence to conclude that color and flavor are related O B. Do not reject the null hypothesis. There is sufficient evidence to conclude that color and flavor are related C. Do not reject the null hypothesis. There is not sufficient evidence to conclude that color and flavor are related O D. Reject the null hypothesis. There is not sufficient evidence to conclude that color and flavor are related

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A magazine 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 137 students who participated in the study, 94 correctly
identified the color of the gummy bear. Complete parts a through c below.
(Round to three decimal places as needed.)
Make a conclusion. Choose the correct answer below.
A. Reject the null hypothesis. There is sufficient evidence to conclude that
color and flavor are related
B. Do not reject the null hypothesis. There is sufficient evidence to
conclude that color and flavor are related
C. Do not reject the null hypothesis. There is not sufficient evidence to
conclude that color and flavor are related
D. Reject the null hypothesis. There is not sufficient evidence to conclude
that color and flavor are related
Transcribed Image Text:A magazine 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 137 students who participated in the study, 94 correctly identified the color of the gummy bear. Complete parts a through c below. (Round to three decimal places as needed.) Make a conclusion. Choose the correct answer below. A. Reject the null hypothesis. There is sufficient evidence to conclude that color and flavor are related B. Do not reject the null hypothesis. There is sufficient evidence to conclude that color and flavor are related C. Do not reject the null hypothesis. There is not sufficient evidence to conclude that color and flavor are related D. Reject the null hypothesis. There is not sufficient evidence to conclude that color and flavor are related
A magazine 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 137 students who participated in the study, 94 correctly
identified the color of the gummy bear. Complete parts a through c below.
a. If there is no relationship between color and gummy bear flavor, what
proportion of the population of students will correctly identify the color?
(Type an integer or a decimal. Do not round.)
b. Specify the null and alternative hypotheses for testing whether color and flavor
are related. Let p be the true proportion of students who are able to correctly
identify the color of the gummy bear.
Ho: P
H₂: P
(Type integers or decimals. Do not round.)
c. Carry out the test and give the appropriate conclusion at x = 0.05. Use
the p-value of the test to make your decision.
Transcribed Image Text:A magazine 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 137 students who participated in the study, 94 correctly identified the color of the gummy bear. Complete parts a through c below. a. If there is no relationship between color and gummy bear flavor, what proportion of the population of students will correctly identify the color? (Type an integer or a decimal. Do not round.) b. Specify the null and alternative hypotheses for testing whether color and flavor are related. Let p be the true proportion of students who are able to correctly identify the color of the gummy bear. Ho: P H₂: P (Type integers or decimals. Do not round.) c. Carry out the test and give the appropriate conclusion at x = 0.05. Use the p-value of the test to make your decision.
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