Since I knew that I would be challenged by some who refuse to examine statistics, I researched last year's final top 25 and the season statistics for the NCAA.
Field Goal Percentage:
1-50: 16
51-100: 5
101-150: 2
151-200: 1
201-250: 0
251-300: 0
300-350: 1
Turnovers:
1-50: 11
51-100: 4
101-150: 6
151-200: 3
201-250: 1
Which tends to be more correlated with the success of a team? Only one team (Georgetown) was out of the top 164 in field goal percentage and still finished in the top 25. Only two teams were out of the top 105.
Offense vs defense?
Scoring offense:
1-50: 17
51-100: 4
101-150: 1
151-200: 3
Defense:
1-50: 11
51-100: 2
101-150: 4
151-200: 7
201-250: 1
Which has the stronger correlation.
Yes, good teams are good in all areas. The point is that the tendency is to emphasize what will get you among the better teams. You may cause some turnovers trying to get a better shot because, while turnovers are frustrating, field goal percentage has a stronger correlation to success.
Just so the information upon which these are based is here, the statistics are here:
Scoring offense
Baylor 3
Stanford 6
Connecticut 5
Notre Dame 2
Maryland 4
Duke 9
Tennessee 16
Delaware 29
Miami (FL) 7
Green Bay 15
Kentucky 17
Pemm State 8
Georgia Tech 35
Texas A&M 68
Purdue 101
Georgetown 197
Georgia 59
Ohio State 13
Louisville 52
Rutgers 189
St. Johns 176
Nebraska 30
DePaul 23
Gonzaga 10
St.Bonaventure 134
1-50: 17
51-100: 4
101-150: 1
151-200: 3
Scoring Defense
Baylor 7
Stanford 37
Connecticut 1
Notre Dame 13
Maryland 153
Duke 44
Tennessee 156
Delaware 35
Miami (FL) 66
Green Bay 36
Kentucky 113
Penn State 187
Georgia Tech 117
Texas A&M 130
Purdue 105
Georgetown 12
Georgia 83
Ohio State 194
Louisville 157
Rutgers 39
St. Johns 50
Nebraska 173
DePaul 245
Gonzaga 188
St.Bonaventure 29
1-50: 11
51-100: 2
101-150: 4
151-200: 7
201-250: 1
Field goal percentage
Baylor 1
Stanford 8
Connecticut 2
Notre Dame 4
Maryland 5
Duke 3
Tennessee 17
Delaware 12
Miami (FL) 56
Green Bay 10
Kentucky 103
Penn State 27
Georgia Tech 15
Texas A&M 38
Purdue 105
Georgetown 309
Georgia 32
Ohio State 7
Louisville 53
Rutgers 76
St.Johns 62
Nebraska 164
DePaul 22
Gonzaga 14
St.Bonaventure 59
1-50: 16
51-100: 5
101-150: 2
151-200: 1
201-250: 0
251-300: 0
300-350: 1
Turnovers Per Game
Baylor 16
Stanford 5
Connecticut 50
Notre Dame 88
Maryland 136
Duke 150
Tennessee 52
Delaware 10
Miami (FL) 148
Green Bay 81
Kentucky 196
Penn State 30
Georgia Tech 169
Texas A&M 45
Purdue 165
Georgetown 78
Georgia 46
Ohio State 19
Louisville 215
Rutgers 120
St.Johns 20
Nebraska 128
DePaul 121
Gonzaga 36
St.Bonaventure 2
1-50: 11
51-100: 4
101-150: 6
151-200: 3
201-250: 1
If the best predictor of success is field goal percentage, you may risk a few turnovers to get better shots.