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



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

1 answer

To determine whether there is no association between being a senior and preferring baseball, we need to check the proportions of seniors and freshmen who prefer baseball in each school. Specifically, we are looking for cases where the preference for baseball does not significantly differ between seniors and freshmen.

Let’s analyze the tables:

A. School 1:

  • Seniors: 38 (Baseball) out of 48
  • Freshmen: 16 (Baseball) out of 50
  • Proportion of seniors preferring baseball: 38/48 = 0.79
  • Proportion of freshmen preferring baseball: 16/50 = 0.32

There is a notable difference; hence, School 1 shows an association.

B. School 2:

  • Seniors: 11 (Baseball) out of 52
  • Freshmen: 35 (Baseball) out of 50
  • Proportion of seniors preferring baseball: 11/52 = 0.21
  • Proportion of freshmen preferring baseball: 35/50 = 0.70

There is a notable difference; hence, School 2 shows an association.

C. School 3:

  • Seniors: 26 (Baseball) out of 44
  • Freshmen: 39 (Baseball) out of 66
  • Proportion of seniors preferring baseball: 26/44 ≈ 0.59
  • Proportion of freshmen preferring baseball: 39/66 ≈ 0.59

The proportions are similar; hence, School 3 shows no association.

D. School 4:

  • Seniors: 40 (Baseball) out of 100
  • Freshmen: 30 (Baseball) out of 75
  • Proportion of seniors preferring baseball: 40/100 = 0.40
  • Proportion of freshmen preferring baseball: 30/75 = 0.40

The proportions are similar; hence, School 4 shows no association.

In summary, the schools that show no association between being a senior and preferring baseball are:

Answer: C and D