QUESTION IMAGE
Question
| sports car | suv | truck | sedan | total | |
|---|---|---|---|---|---|
| has a license | \\(\boxed{0.28}\\) | \\(\boxed{0.22}\\) | \\(\frac{32}{200} = 0.16\\) | \\(\boxed{0.18}\\) | \\(\boxed{0.14}\\) |
| total | \\(\frac{59}{200} = 0.295\\) | \\(\frac{45}{200} = 0.225\\) | \\(\boxed{0.70}\\) | \\(\frac{40}{200} = 0.20\\) | \\(\frac{200}{200} = 1.00\\) |
part b
select an answer from each drop - down list to make each statement true.
among the students in the sample who do not have a drivers license, a truck is the most popular dream car
among the students in the sample who have a drivers license, a select (with options: sports car, suv, truck, sedan) is the most popular dream car.
the greatest proportion of students in the sample selected a se their dream car.
the smallest proportion of students in the sample selected a se sedan their dream car
Step1: Analyze "Has a License" row
We look at the values in the "Has a License" row for each car type: Sports Car (0.28), SUV (0.22), Truck (0.16), Sedan (0.18). The largest value here is 0.28, which corresponds to Sports Car.
Step2: Analyze "Total" row (proportions of each car type)
The "Total" row gives the proportion of each car type in the sample: Sports Car (0.295), SUV (0.225), Truck (0.70? Wait, no, wait the table: Wait, Truck's total is $\frac{?}{200}=0.70$? Wait, no, original table: Total row, Truck column: the box is 0.70? Wait, no, let's recalculate. Wait, the total for each car type: Sports Car total is $\frac{59}{200}=0.295$, SUV is $\frac{45}{200}=0.225$, Truck: let's see, the "Does Not Have a License" for Truck is $\frac{24}{200}=0.12$, "Has a License" is $\frac{32}{200}=0.16$, so total is $0.12 + 0.16 = 0.28$? Wait, no, the table has Truck total as 0.70? Wait, maybe a typo, but looking at the "Total" column for Truck: the "Total" row, Truck column is a box with 0.70? Wait, no, the "Total" row's last column is $\frac{200}{200}=1.00$. Wait, maybe the Truck total is $\frac{140}{200}=0.70$? Because 24 (no license) + 32 (has license) = 56? No, 24 + 32 = 56, 56/200=0.28. Wait, maybe the table has an error, but looking at the "Total" row for each car type: Sports Car 0.295, SUV 0.225, Truck (box) 0.70? No, that can't be, because 0.295 + 0.225 + 0.70 + 0.20 = 1.42, which is more than 1. So maybe a typo, but the "Has a License" row for Sports Car is 0.28, which is the highest among Has a License. For the total proportion of each car type, the "Total" row: Sports Car 0.295, SUV 0.225, Truck (let's check the "Does Not Have a License" and "Has a License" for Truck: 0.12 + 0.16 = 0.28, Sedan: 0.06 + 0.18 = 0.24? Wait, Sedan's "Does Not Have a License" is $\frac{12}{200}=0.06$, "Has a License" is 0.18, so total 0.24, but the table says Sedan total is $\frac{40}{200}=0.20$. So maybe the table has some errors, but the question is:
First, "Among the students in the sample who have a driver’s license, a [ ] is the most popular dream car." So we look at the "Has a License" row: Sports Car (0.28), SUV (0.22), Truck (0.16), Sedan (0.18). So 0.28 is the largest, so Sports Car.
Then, "The greatest proportion of students in the sample selected a [ ] as their dream car." The "Total" row gives the proportion of each car type in the sample. Sports Car: 0.295, SUV: 0.225, Truck: let's see, the "Total" row for Truck is a box with 0.70? No, that's impossible. Wait, maybe the Truck total is 0.70 in the table (even though it's wrong), but the "Total" row for each car type: Sports Car 0.295, SUV 0.225, Truck 0.70, Sedan 0.20. But 0.295 + 0.225 + 0.70 + 0.20 = 1.42, which is wrong. So maybe the Truck total is 0.28 (24 + 32 = 56, 56/200=0.28), and Sedan total is 40/200=0.20. Then 0.295 + 0.225 + 0.28 + 0.20 = 1.00. Ah, so the table has a typo in the Truck total box, it should be 0.28, but it's written as 0.70. But the "Has a License" row for Sports Car is 0.28, which is the highest. For the total proportion of each car type, the "Total" row: Sports Car 0.295, SUV 0.225, Truck 0.28, Sedan 0.20. Wait, no, the "Total" row for Sedan is $\frac{40}{200}=0.20$, which matches 0.06 (no license) + 0.14 (has license)? Wait, no, "Has a License" for Sedan is 0.18, so 0.06 + 0.18 = 0.24, but the table says $\frac{40}{200}=0.20$. So there are typos, but let's go with the given table values.
Wait, the "Has a License" row: Sports Car 0.28, SUV 0.22, Truck 0.16, Sedan 0.18. So maximum in Has a License is Sports Car (0.28).
For the total proportion of each car…
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For "Among the students in the sample who have a driver’s license, a [ ] is the most popular dream car": sports car
For "The greatest proportion of students in the sample selected a [ ] as their dream car": truck (assuming the table's Truck total is 0.70, even with the sum error)
For "The smallest proportion of students in the sample selected a [ ] as their dream car": sedan
(Note: There might be table typos, but based on the given values, the above is the analysis.)