- For ages 25 to 29, the percentage who voted for candidate A is 54%
- For ages 30 to 39, the percentage who voted for candidate A is 30%
- For ages 40 to 49, the percentage who voted for candidate A is 16%
- For ages 50 to 64, the percentage who voted for candidate A is 30%
- For ages 65 or older, the percentage who voted for candidate A is 22%
For ages 18 to 24, the percentage who voted for candidate B is 31%
- For ages 25 to 29, the percentage who voted for candidate B is 43%
- For ages 30 to 39, the percentage who voted for candidate B is 46%
- For ages 40 to 49, the percentage who voted for candidate B is 44%
- For ages 50 to 64, the percentage who voted for candidate B is 52%
- For ages 65 or older, the percentage who voted for candidate B is 52%
if 1000 more voters were surveyed, what would have been the expected number of voters from this group who were 50-65 years?
First, we need to calculate the total number of voters in each age group based on the percentages given.
For ages 25 to 29:
Total voters = 1000 * 0.54 = 540
For ages 30 to 39:
Total voters = 1000 * 0.3 = 300
For ages 40 to 49:
Total voters = 1000 * 0.16 = 160
For ages 50 to 64:
Total voters = 1000 * 0.3 = 300
For ages 65 or older:
Total voters = 1000 * 0.22 = 220
To find the expected number of voters from the 50-65 age group if 1000 more voters were surveyed, we need to first calculate the percentage of voters from this group in the total.
Percentage of voters from 50-65 age group = (300 + 300) / (540 + 300 + 160 + 300 + 220) = 600 / 1520 = 0.3947
Now, with 1000 more voters surveyed, the total number of voters would be 2000. Therefore, the expected number of voters from the 50-65 age group would be:
Expected voters from 50-65 age group = 2000 * 0.3947 = 789.4
Therefore, the expected number of voters from the 50-65 age group would be approximately 789.