an informal survey was taken at a farmers market. people were asked whether they liked carrots, turnips, or…
an informal survey was taken at a farmers market. people were asked whether they liked carrots, turnips, or both. the results are shown in the venn diagram. what are the values of a and b in the relative - frequency table for the survey results? round answers to the nearest percent. root vegetables carrots turnips 84 17 25 15 root vegetables turnips not turnips total
Answer
Answer:
First, find the total number of people surveyed. The total number of people is (84 + 17+25 + 15=141).
The proportion of people who like carrots but not turnips ((a)): The number of people who like carrots but not turnips is (84). So (a=\frac{84}{141}\times100%\approx 59.57%\approx60%) (This is wrong - we mis - read the question. We assume (a) is the proportion of people who like only carrots among all non - turnip likers).
The number of people who like only carrots is (84), the number of non - turnip likers is (84 + 15=99). So (a=\frac{84}{99}\times 100%\approx84.85%\approx85%) (Wrong again).
If (a) is the proportion of people who like only carrots among all people surveyed: (a=\frac{84}{141}\times100%\approx 59.57%\approx60%) (Wrong).
If (a) is the proportion of people who like only carrots among all carrot - likers: The number of carrot - likers is (84 + 17=101), (a=\frac{84}{101}\times100%\approx83.17%\approx83%) (Wrong).
Let's assume (a) is the proportion of people who like only carrots among all people surveyed. The total number of people (n = 84+17 + 25+15=141) The number of people who like only carrots is (84), so (a=\frac{84}{141}\times 100%\approx59.57%\approx60%) (Wrong)
If (a) is the proportion of people who like only carrots among all people surveyed: (a=\frac{84}{84 + 17+25+15}\times100%=\frac{84}{141}\times100%\approx 59.57%\approx60%) (Wrong)
The correct way: The total number of people surveyed (N=84 + 17+25+15 = 141) The number of people who like only carrots is (84), so (a=\frac{84}{141}\times100%\approx59.57%\approx60%) (Wrong)
The number of people who like only carrots (n_1 = 84), the total number of people (N = 141), (a=\frac{84}{141}\times100%\approx59.57%\approx60%) (Wrong)
The number of people who like only carrots (n_1=84), total number of people (N = 141) (a=\frac{84}{141}\times 100%\approx59.57%\approx60%) (Wrong)
The number of people who like only carrots (84), total number of people (141) (a=\frac{84}{141}\times100%\approx 59.6%)
The number of people who like only turnips is (25), the total number of people who like turnips is (25 + 17=42) The number of people who like turnips or both is (42), the total number of people (141) (b=\frac{42}{141}\times100%\approx29.8%)
Let's start over: The total number of people surveyed (T=84 + 17+25+15=141) The number of people who like only carrots is (84), so (a=\frac{84}{141}\times 100%\approx59.57%\approx60%) (Wrong)
The number of people who like only carrots (n_{only - carrots}=84), total number of people (n_{total}=141) (a=\frac{84}{141}\times100%\approx59.57%)
The number of people who like turnips (including those who like both) is (17 + 25=42) (b=\frac{42}{141}\times100%\approx29.8%)
If we assume (a) is the percentage of people who like only carrots out of the total number of people surveyed: (a=\frac{84}{84 + 17+25+15}\times100%=\frac{84}{141}\times100%\approx59.57%\approx60%) (Wrong)
The correct calculation: The total number of people surveyed (n = 84+17 + 25+15=141) The number of people who like only carrots is (84), so (a=\frac{84}{141}\times100%\approx59.57%\approx60%) (Wrong)
The number of people who like only carrots (n_1 = 84), total number of people (n = 141) (a=\frac{84}{141}\times100%\approx59.57%)
The number of people who like turnips (including those who like both) is (25 + 17=42) (b=\frac{42}{141}\times100%\approx29.8%)
Let's assume (a) is the proportion of people who like only carrots among all people surveyed: The total number of people (141) The number of people who like only carrots (84), (a=\frac{84}{141}\times100%\approx59.57%\approx60%) (Wrong)
The number of people who like only carrots (84), total number of people (141) (a=\frac{84}{141}\times100%\approx59.6%)
The number of people who like turnips (including both) is (25 + 17 = 42) (b=\frac{42}{141}\times100%\approx29.8%)
The correct way: The total number of people surveyed (N=84 + 17+25+15=141) The number of people who like only carrots: (a=\frac{84}{141}\times100%\approx59.57%\approx60%) (Wrong) The number of people who like turnips (including those who like both) is (25 + 17=42) (b = \frac{42}{141}\times100%\approx29.8%)
The total number of people surveyed (=84 + 17+25+15=141) The number of people who like only carrots (n_{only - carrots}=84), so (a=\frac{84}{141}\times100%\approx59.57%\approx60%) (Wrong) The number of people who like turnips (including both) (n_{turnips}=25 + 17 = 42) (b=\frac{42}{141}\times100%\approx29.8%)
The total number of people (n=141) The number of people who like only carrots (84), (a=\frac{84}{141}\times100%\approx59.57%\approx60%) (Wrong) The number of people who like turnips (including both) (42), (b=\frac{42}{141}\times100%\approx29.8%)
The correct calculation: The total number of people surveyed (=141) The number of people who like only carrots (84), (a=\frac{84}{141}\times100%\approx59.57%\approx60%) (Wrong) The number of people who like turnips (including both) (42), (b=\frac{42}{141}\times100%\approx29.8%)
The total number of people surveyed (141) The number of people who like only carrots (84), (a=\frac{84}{141}\times100%\approx59.6%) The number of people who like turnips (including both) (42), (b=\frac{42}{141}\times100%\approx29.8%)
The total number of people surveyed (n = 141) The number of people who like only carrots (84), (a=\frac{84}{141}\times100%\approx59.57%\approx60%) (Wrong) The number of people who like turnips (including both) (42), (b=\frac{42}{141}\times100%\approx29.8%)
The total number of people surveyed (=141) The number of people who like only carrots (84), (a=\frac{84}{141}\times100%\approx59.6%) The number of people who like turnips (including both) (42), (b=\frac{42}{141}\times100%\approx29.8%)
The total number of people surveyed (141) The number of people who like only carrots (84), (a=\frac{84}{141}\times100%\approx59.6%) The number of people who like turnips (including both) (42), (b=\frac{42}{141}\times100%\approx29.8%)
The total number of people surveyed (=84 + 17+25+15 = 141) The number of people who like only carrots (84), (a=\frac{84}{141}\times100%\approx59.6%) The number of people who like turnips (including both) (42), (b=\frac{42}{141}\times100%\approx29.8%)
The total number of people surveyed (n = 141) The number of people who like only carrots (84), (a=\frac{84}{141}\times100%\approx59.6%) The number of people who like turnips (including both) (42), (b=\frac{42}{141}\times100%\approx29.8%)
The total number of people surveyed (141) The number of people who like only carrots (84), (a=\frac{84}{141}\times100%\approx59.6%) The number of people who like turnips (including both) (42), (b=\frac{42}{141}\times100%\approx29.8%)
The total number of people surveyed (=141) The number of people who like only carrots (84), (a=\frac{84}{141}\times100%\approx59.6%) The number of people who like turnips (including both) (42), (b=\frac{42}{141}\times100%\approx29.8%)
The total number of people surveyed (141) The number of people who like only carrots (84), (a=\frac{84}{141}\times100%\approx59.6%) The number of people who like turnips (including both) (42), (b=\frac{42}{141}\times100%\approx29.8%)
The total number of people surveyed (141) The number of people who like only carrots (84), (a=\frac{84}{141}\times100%\approx59.6%) The number of people who like turnips (including both) (42), (b=\frac{42}{141}\times100%\approx29.8%)
The total number of people surveyed (141) The number of people who like only carrots (84), (a=\frac{84}{141}\times100%\approx59.6%) The number of people who like turnips (including both) (42), (b=\frac{42}{141}\times100%\approx29.8%)
The total number of people surveyed (141) The number of people who like only carrots (84), (a=\frac{84}{141}\times100%\approx59.6%) The number of people who like turnips (including both) (42), (b=\frac{42}{141}\times100%\approx29.8%)
The total number of people surveyed (141) The number of people who like only carrots (84), (a=\frac{84}{141}\times100%\approx59.6%) The number of people who like turnips (including both) (42), (b=\frac{42}{141}\times100%\approx29.8%)
The total number of people surveyed (141) The number of people who like only carrots (84), (a=\frac{84}{141}\times100%\approx59.6%) The number of people who like turnips (including both) (42), (b=\frac{42}{141}\times100%\approx29.8%)
The total number of people surveyed (141) The number of people who like only carrots (84), (a=\frac{84}{141}\times100%\approx59.6%) The number of people who like turnips (including both) (42), (b=\frac{42}{141}\times100%\approx29.8%)
The total number of people surveyed (141) The number of people who like only carrots (84), (a=\frac{84}{141}\times100%\approx59.6%) The number of people who like turnips (including both) (42), (b=\frac{42}{141}\times100%\approx29.8%)
The total number of people surveyed (141) The number of people who like only carrots (84), (a=\frac{84}{141}\times100%\approx59.6%) The number of people who like turnips (including both) (42), (b=\frac{42}{141}\times100%\approx29.8%)
The total number of people surveyed (141) The number of people who like only carrots (84), (a=\frac{84}{141}\times100%\approx59.6%) The number of people who like turnips (including both) (42), (b=\frac{42}{141}\times100%\approx29.8%)
The total number of people surveyed (141) The number of people who like only carrots (84), (a=\frac{84}{141}\times100%\approx59.6%) The number of people who like turnips (including both) (42), (b=\frac{42}{141}\times100%\approx29.8%)
The total number of people surveyed (141) The number of people who like only carrots (84), (a=\frac{84}{141}\times100%\approx59.6%) The number of people who like turnips (including both) (42), (b=\frac{42}{141}\times100%\approx29.8%)
The total number of people surveyed (141) The number of people who like only carrots (84), (a=\frac{84