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	23	28	10	15	11

Michael wants to carry out a statistical inference procedure for this scenario using the χ2{"version":"1.1","math":"<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>&#x3C7;</mi><mn>2</mn></msup></math>"}-distribution. Which of the following conditions must be met? (Select all that apply.)

Question 7 options:

	There must be at least 10 successes and 10 failures for each level of the categorical variable.
	There must be at least 3 levels of the categorical variable.
	The sample size must be at least 30 or the population data must be normally distributed.
	The observations must be independent.
	The difference in all calculated proportions must be at least 5.
	There must be an expected count of at least 5 for each level of the categorical variable.

Answer 1

since we are applying chi square goodness of fit test:

Correct options are:

The observations must be independent.

There must be an expected count of at least 5 for each level of the categorical variable.