A political poll based on a random sample of 1,200 likely voters tested to see i
ID: 3153131 • Letter: A
Question
A political poll based on a random sample of 1,200 likely voters tested to see if gender has an influence on candidate preference. The participants were asked if they planned to vote for Candidate A or Candidate B in the upcoming election. Results are shown in the contingency table below: (10 points)
Candidate you will vote for
Gender
Candidate A
Candidate B
Male
250
300
Female
350
300
B. What proportion of females will vote for Candidate B?
C. What proportion of males will vote for Candidate B?
D. What is the “relative risk” of the voting preference for Candidate B for females compared to males?
E. What is the “relative risk” of the voting preference for Candidate B for males compared to females?
F. How would you interpret the value that you computed in part E for a friend with no knowledge of statistics?
G. Conduct a chi-square test of independence to determine if there is evidence of a relationship between gender and voting preference for a candidate in the population. Assume that this sample is a representative sample of the population. Use the five-step hypothesis testing procedure labeling each of your steps. (worth 5 of 10 points)
Step 1:
Step 2:
Step 3:
Step 4:
Step 5:
Candidate you will vote for
Gender
Candidate A
Candidate B
Male
250
300
Female
350
300
Explanation / Answer
B. What proportion of females will vote for Candidate B?
P=300 / 1200
C. What proportion of males will vote for Candidate B?
P = 300 / 1200
D. What is the “relative risk” of the voting preference for Candidate B for females compared to males?
Rel = 300 / 300 = 1
E. What is the “relative risk” of the voting preference for Candidate B for males compared to females?
relative = 300 / 300 =1