Akeem Richmond also scored 16 points.
The Pirates' 3-0 start is their first since the 2008-09 season, and Kemp has scored in double figures in all three games.
Miguel shot 7 of 12 from the field, including 3 of 5 from beyond the arc, and he made 7 of 8 free throws. Kemp was 8 of 10 on foul shots as the Pirates outscored the Spartans 21-10 from the free-throw line.
East Carolina trailed 62-59 with 8:06 left, but a dunk by Kemp and Richmond's 3-pointer put the Pirates ahead to stay.
After a season that saw his shooting numbers slip, should Nigel Hayes return for his senior year at Wisconsin or take the gamble to put him name in this year's NBA draft?
Isaiah Taylor talks about his decision to declare for the NBA draft and what he will miss most about Texas.
Chattanooga women's basketball coach Jim Foster has received a one-year contract extension, the same day the school gave the men's coach a two-year extension.