Question

NBA players ~ Michael wants to investigate whether the distribution of his classmates’ favorite NBA players of all time is different from the one reported by NBA. He randomly surveys his classmates. The table below contains the percentages reported by NBA and the observed counts from his random sample.

Player	LeBron James	Kobe Bryant	Steph Curry	Michael Jordan	Others
NBA Percentages	20%	30%	15%	19%	16%
Observed Counts	26	28	10	15	11

Michael conducts the appropriate hypothesis test.

If, in fact, the percentages are as reported by NBA, then what is the contribution of LeBron James category to Michael's observed test statistic?

Answer 1

Total Observed Counts = 26+28+10+15+11 = 90

LeBron James's observed count = 26

LeBron James's expected value = 90×0.20 = 18

The contribution of LeBron James category to Michael's observed test statistic

= (Observed - Expected)^2/Expected

= (26 - 18)^2/18

= 3.555555

= 3.5556 (to four decimal places)