1. What percentage of respondents aged 25-29 voted for candidate A?
Answer: 54%
2. What percentage of respondents aged 30-39 voted for candidate B?
Answer: 46%
3. Which age group had the highest percentage of respondents who voted for candidate B?
Answer: The age group 50-64 had the highest percentage of respondents who voted for candidate B, with 52%.
4. What was the overall percentage of respondents who voted for candidate A?
Answer: 51%
5. What was the overall percentage of respondents who voted for candidate B?
Answer: 47%
news network published the results of an exit poll conducted during a presidential election. The survey reported 15,590 total respondents. Respondents are categorized according to age-groups. Table 4 reflects the percentage distribution of respondents and the percentage of respondents from each group who voted for candidate A or candidate B.
The entries in the first column mean that 65% of the respondents who were aged 18-24 years at that time voted for candidate A and 31% chose candidate B. This led to a 4% unreported response, which could either mean that they did not cast a vote for president or they did not want to share their votes.
Table 4. Exit Poll Survey Results
Age (in years)
18–24
9%
25–29
7%
30–39
16%
40–49
16%
50–64
30%
65 or older
22%
Voted for candidate A 65%
54%
51%
54%
47%
47%
Voted for candidate B 31%
43%
46%
44%
52%
52%
Use the results of the exit poll to answer the succeeding questions.
11 answers
Use above for the details.
Answer this questions- if a respondent is randomly selected from the database, what is the probability that, that person is among those who voted for candidate A
Answer this questions- if a respondent is randomly selected from the database, what is the probability that, that person is among those who voted for candidate A
To find the probability that a randomly selected respondent voted for candidate A, we need to calculate the overall percentage of respondents who voted for candidate A.
From the table, we see that the percentage of respondents who voted for candidate A in each age group are:
- 18-24: 65%
- 25-29: 54%
- 30-39: 51%
- 40-49: 54%
- 50-64: 47%
- 65 or older: 47%
To find the overall percentage of respondents who voted for candidate A, we calculate a weighted average based on the percentage distribution of respondents in each age group:
(0.65 * 9%) + (0.54 * 7%) + (0.51 * 16%) + (0.54 * 16%) + (0.47 * 30%) + (0.47 * 22%) = 0.51
Therefore, the overall probability that a randomly selected respondent voted for candidate A is 51%.
From the table, we see that the percentage of respondents who voted for candidate A in each age group are:
- 18-24: 65%
- 25-29: 54%
- 30-39: 51%
- 40-49: 54%
- 50-64: 47%
- 65 or older: 47%
To find the overall percentage of respondents who voted for candidate A, we calculate a weighted average based on the percentage distribution of respondents in each age group:
(0.65 * 9%) + (0.54 * 7%) + (0.51 * 16%) + (0.54 * 16%) + (0.47 * 30%) + (0.47 * 22%) = 0.51
Therefore, the overall probability that a randomly selected respondent voted for candidate A is 51%.
If a respondent is randomly selected from the database, what is the probability that that person is among those who voted for candidate A and aged 40-49 years
To find the probability that a randomly selected respondent is both among those who voted for candidate A and aged 40-49 years, we first need to calculate the percentage of respondents who are both in the 40-49 age group and voted for candidate A.
From the table, we see that the percentage of respondents who voted for candidate A in the 40-49 age group is 54%.
Therefore, the probability that a randomly selected respondent is among those who voted for candidate A and is aged 40-49 years is 54%.
From the table, we see that the percentage of respondents who voted for candidate A in the 40-49 age group is 54%.
Therefore, the probability that a randomly selected respondent is among those who voted for candidate A and is aged 40-49 years is 54%.
If a respondent is randomly selected from the database. What is the probability that that person is among those who voted for candidate B or aged 25-29 years?
To find the probability that a randomly selected respondent is among those who voted for candidate B or aged 25-29 years, we need to calculate the overall probability of respondents who voted for candidate B in the 25-29 age group and add that to the overall probability of respondents in the 25-29 age group.
From the table, we see that the percentage of respondents who voted for candidate B in the 25-29 age group is 43%. The percentage of respondents in the 25-29 age group is 7%.
Therefore, the overall probability that a randomly selected respondent is among those who voted for candidate B or aged 25-29 years can be calculated as:
(0.43 * 7%) + (0.07 * 43%) = 3.01% + 3.01% = 6.02%
Therefore, the probability that a randomly selected respondent is among those who voted for candidate B or aged 25-29 years is 6.02%.
From the table, we see that the percentage of respondents who voted for candidate B in the 25-29 age group is 43%. The percentage of respondents in the 25-29 age group is 7%.
Therefore, the overall probability that a randomly selected respondent is among those who voted for candidate B or aged 25-29 years can be calculated as:
(0.43 * 7%) + (0.07 * 43%) = 3.01% + 3.01% = 6.02%
Therefore, the probability that a randomly selected respondent is among those who voted for candidate B or aged 25-29 years is 6.02%.
If 1,000 more voters were surveyed, what would have been the expected number of voters from this group who were 50-64 years
To find the expected number of voters from the 50-64 age group if 1,000 more voters were surveyed, first, we need to calculate the current number of voters from this group based on the percentage distribution given in the table.
From the table, we see that the percentage of respondents in the 50-64 age group is 30%.
So, the current number of voters from the 50-64 age group in the survey is:
30% of 15,590 respondents = 0.30 * 15,590 = 4,677
If 1,000 more voters were surveyed, the total number of voters surveyed would be:
15,590 + 1,000 = 16,590
So, the expected number of voters from the 50-64 age group in the survey of 16,590 respondents would be:
30% of 16,590 respondents = 0.30 * 16,590 = 4,977
Therefore, the expected number of voters from the 50-64 age group if 1,000 more voters were surveyed would be 4,977.
From the table, we see that the percentage of respondents in the 50-64 age group is 30%.
So, the current number of voters from the 50-64 age group in the survey is:
30% of 15,590 respondents = 0.30 * 15,590 = 4,677
If 1,000 more voters were surveyed, the total number of voters surveyed would be:
15,590 + 1,000 = 16,590
So, the expected number of voters from the 50-64 age group in the survey of 16,590 respondents would be:
30% of 16,590 respondents = 0.30 * 16,590 = 4,977
Therefore, the expected number of voters from the 50-64 age group if 1,000 more voters were surveyed would be 4,977.
If 1,000 more voters were surveyed what would have been the expected number of voters from this group who were 24-29 or who voted for candidate B
To find the expected number of voters from the 25-29 age group or who voted for candidate B if 1,000 more voters were surveyed, we need to calculate the current number of voters from these groups based on the percentage distribution given in the table.
From the table, we see that the percentage of respondents in the 25-29 age group is 7% and the percentage of respondents who voted for candidate B in this age group is 43%.
1. Expected number of voters aged 25-29:
7% of 15,590 respondents = 0.07 * 15,590 = 1,091.3 or approximately 1,091 voters
2. Expected number of voters who voted for candidate B from the 25-29 age group:
43% of 1,091 voters = 0.43 * 1,091 = 469.13 or approximately 469 voters
If 1,000 more voters were surveyed, the total number of voters surveyed would be:
15,590 + 1,000 = 16,590
1. The expected number of voters aged 25-29 in the survey of 16,590 respondents:
7% of 16,590 respondents = 0.07 * 16,590 = 1,161.3 or approximately 1,161 voters
2. The expected number of voters who voted for candidate B from the 25-29 age group in the survey of 16,590 respondents:
43% of 1,161 voters = 0.43 * 1,161 = 499.23 or approximately 499 voters
Therefore, the expected number of voters from the 25-29 age group or who voted for candidate B if 1,000 more voters were surveyed would be approximately 499 voters.
From the table, we see that the percentage of respondents in the 25-29 age group is 7% and the percentage of respondents who voted for candidate B in this age group is 43%.
1. Expected number of voters aged 25-29:
7% of 15,590 respondents = 0.07 * 15,590 = 1,091.3 or approximately 1,091 voters
2. Expected number of voters who voted for candidate B from the 25-29 age group:
43% of 1,091 voters = 0.43 * 1,091 = 469.13 or approximately 469 voters
If 1,000 more voters were surveyed, the total number of voters surveyed would be:
15,590 + 1,000 = 16,590
1. The expected number of voters aged 25-29 in the survey of 16,590 respondents:
7% of 16,590 respondents = 0.07 * 16,590 = 1,161.3 or approximately 1,161 voters
2. The expected number of voters who voted for candidate B from the 25-29 age group in the survey of 16,590 respondents:
43% of 1,161 voters = 0.43 * 1,161 = 499.23 or approximately 499 voters
Therefore, the expected number of voters from the 25-29 age group or who voted for candidate B if 1,000 more voters were surveyed would be approximately 499 voters.
3 answers