Jamie collected data from her classmates on their favorite make of car. Based on the data, if 100 boys and 100 girls are given their choice of a car, which statement is true?
Accepted Solution
A:
Answer:Option: A is the correct answer. More boys than girls prefer Dodge over Ford or Chevrolet.Step-by-step explanation:The data is given as: Boys Girls Ford 18 25Dodge 17 18 Chevrolet 11 13Total 46 56A)Probability of girls who prefer Dodge is: 18/56So out of 100 girls the number of girls who prefer dodge is:18/56 ×100 Number of girls who prefer Dodge is: 32.143≈32Probability of boys who prefer Dodge is: 17/46So out of 100 boys the number of boys who prefer dodge is:17/46 ×100 Number of boys who prefer Dodge is: 36.956≈37This means that the number of boys who prefer dodge are more than the number of girls who prefer dodge. Hence, option: A is correct.B)Option: B is opposite of A and hence is incorrect.C)Probability of girls who prefer ford is: 25/56So out of 100 girls the number of girls who prefer ford is:25/56 ×100 Number of girls who prefer Fords: 44.642≈45Probability of boys who prefer Ford is: 18/46So out of 100 boys the number of boys who prefer ford is:18/46 ×100 Number of boys who prefer Ford is: 39.13≈39This means that the number of girls who prefer ford are more than the number of boys who prefer ford. Hence, option: C is incorrect.D)Probability of girls who prefer Chevrolet is: 13/56So out of 100 girls the number of girls who prefer Chevrolet is:13/56 ×100 Number of girls who prefer Chevrolet is: 23.214≈23Probability of boys who prefer Chevrolet is: 11/46So out of 100 boys the number of boys who prefer Chevrolet is:11/46 ×100 Number of boys who prefer Chevrolet is: 23.913≈24This means that the number of boys who prefer Chevrolet are approximately equal to the girls who prefer Chevrolet. Hence, option: D is incorrect.