andomly selected seniors and freshmen from four different schools were surveyed as to whether they preferred baseball or football.

Question

Choose ,begin emphasis,all,end emphasis, of the tables that show ,begin emphasis,no association,end emphasis, between being a senior and preferring baseball.

Answer options with 4 options
A.
School 1
Baseball Football Total
Seniors 38 10 48
Freshmen 16 34 50
Total 54 44 98

B.
School 2

Baseball

Football ,begin bold,Total,end bold,
Seniors 11 41 52
Freshmen 35 15 50
,begin bold,Total,end bold, 46 56 102

C.
School 3
Baseball Football Total
Seniors 26 18 44
Freshmen 39 27 66
Total 65 45 110

D.
School 4
Baseball Football Total
Seniors 40 60 100
Freshmen 30 45 75
Total 70 105 175

Answer 1

To determine which of the options shows no association between being a senior and preferring baseball, we can analyze the proportion of seniors who prefer baseball versus the proportion of freshmen who prefer baseball in each school.

A. School 1:

• Seniors preferring Baseball: 38 out of 48 (79.17%)
• Freshmen preferring Baseball: 16 out of 50 (32.00%) There is an association here, as the preference for baseball is significantly higher among seniors.

B. School 2:

• Seniors preferring Baseball: 11 out of 52 (21.15%)
• Freshmen preferring Baseball: 35 out of 50 (70.00%) There is also an association, as freshmen have a higher preference for baseball.

C. School 3:

• Seniors preferring Baseball: 26 out of 44 (59.09%)
• Freshmen preferring Baseball: 39 out of 66 (59.09%) Here, the percentage of preference for baseball is the same for both seniors and freshmen, indicating no association.

D. School 4:

• Seniors preferring Baseball: 40 out of 100 (40.00%)
• Freshmen preferring Baseball: 30 out of 75 (40.00%) Both groups have the same preference percentage, indicating no association.

So, the options showing no association between being a senior and preferring baseball are:

C. School 3
D. School 4