in a taste test, 25 people chose brand A, 15 people chose brand b, and 10 people chose brand c. there are 200 more people to be surveyed. based on the data, which is most likely to happen?
Based on the given data, it is most likely that brand A will continue to be chosen by the majority of people in the remaining survey.
To determine what is most likely to happen, we need to consider the proportions of people who chose each brand and assume that the proportions will remain the same for the remaining surveyed people.
Let's calculate the proportions of people who chose each brand:
- Brand A: 25/(25 + 15 + 10) = 0.5 (or 50%)
- Brand B: 15/(25 + 15 + 10) = 0.3 (or 30%)
- Brand C: 10/(25 + 15 + 10) = 0.2 (or 20%)
Now, let's determine what is most likely to happen for the remaining 200 people to be surveyed:
- Based on the proportions, the most likely outcome would be that approximately 50% of the 200 remaining people will choose Brand A (0.5 * 200 = 100 people).
- Similarly, for Brand B, the most likely outcome would be that approximately 30% of the remaining 200 people will choose Brand B (0.3 * 200 = 60 people).
- For Brand C, the most likely outcome would be that approximately 20% of the remaining 200 people will choose Brand C (0.2 * 200 = 40 people).
Therefore, based on the data, it is most likely that Brand A will be chosen by the remaining surveyed people, followed by Brand B and then Brand C.
To determine which brand is most likely to be chosen by the remaining 200 people, we can calculate the proportions of people who chose each brand in the initial sample.
Let's start by finding the total number of people in the initial sample:
Total in the initial sample = number of people who chose Brand A + number of people who chose Brand B + number of people who chose Brand C
Total in the initial sample = 25 + 15 + 10
Total in the initial sample = 50
Now, let's find the proportions of people who chose each brand in the initial sample:
Proportion of people who chose Brand A = number of people who chose Brand A / total in the initial sample
Proportion of people who chose Brand A = 25 / 50
Proportion of people who chose Brand A = 0.5 (or 50%)
Proportion of people who chose Brand B = number of people who chose Brand B / total in the initial sample
Proportion of people who chose Brand B = 15 / 50
Proportion of people who chose Brand B = 0.3 (or 30%)
Proportion of people who chose Brand C = number of people who chose Brand C / total in the initial sample
Proportion of people who chose Brand C = 10 / 50
Proportion of people who chose Brand C = 0.2 (or 20%)
Now, let's calculate the estimated number of people who will choose each brand out of the remaining 200 people:
Estimated number of people who will choose Brand A = Proportion of people who chose Brand A * Remaining number of people
Estimated number of people who will choose Brand A = 0.5 * 200
Estimated number of people who will choose Brand A = 100
Estimated number of people who will choose Brand B = Proportion of people who chose Brand B * Remaining number of people
Estimated number of people who will choose Brand B = 0.3 * 200
Estimated number of people who will choose Brand B = 60
Estimated number of people who will choose Brand C = Proportion of people who chose Brand C * Remaining number of people
Estimated number of people who will choose Brand C = 0.2 * 200
Estimated number of people who will choose Brand C = 40
Based on the calculations, it is most likely that the remaining 200 people will choose Brand A, as the estimated number of people who will choose Brand A is higher than the estimated number of people who will choose Brands B or C.