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.
Chad Ford and Jeff Goodman offer their opinions on the surprises they're expecting at the NBA draft, with Ford believing there will be a lot of trade activity while Goodman thinks people will be surprised by potential draft spot of Marquese Chriss.
Louisville coach Rick Pitino said he doesn't "have time to figure out what" Kentucky coach John Calipari meant in recent comments that appeared to be a jab at the Cardinals' program.
NC State lands guard Markell Johnson, who has reclassified into the class of 2016 after being ranked No. 48 in the ESPN 100 in the class of 2017.