Question

In a goodness of fit test of n=100 trials, if the no. of different categories or cells k = 3 and H0: p1=0.2; p2=0.3; p3 =0.5 then expected frequency for each cell is equal to 20, 30 and 50 respectively.

T OR F?

Answer 1

Solution:

Given:

n = number of trials = 100

k = number of cells = 3

H₀: p₁=0.2; p₂=0.3; p₃ =0.5

Expected frequencies are calculated as:

E_i = n * p_i

i = 1 ,2,3

E₁ = n * p₁ = 100 * 0.2 = 20

E₂ = n * p₂ = 100 * 0.3 = 30

E₃ = n * p₃ = 100 * 0.5 = 50

thus given statement : expected frequency for each cell is equal to 20, 30 and 50 respectively is TRUE.

Thus answer is: T