Question

For the following questions, find the expected counts in each category using the given sample size and null hypothesis. Give your answers to 2 decimal places.

1

1. Ho : Pa=Pb=Pc+Pd=Pc=.20; n=500

A. group a:

B. group b:

C. group c:

D. group d:

E. group e:

2. Ho: Pa=.2, Pb=.2, Pc=.1, Pd=.5, n=350

A. group a:

B. group b:

C.group c:

D: group d:

Answer 1

Q1) As the expected proportion for each of the 5 groups here is 0.2, therefore the expected frequency for each of the 5 groups here would be computed as:
= n*0.2

= 500*0.2 = 100

Therefore the expected frequencies here are given as:
Group a: 100
Group b: 100
Group c: 100
Group d: 100
Group e: 100

Q2) The expected frequencies here are computed for each expected proportion as:

Group a: 0.2*350 = 70
Group b: 0.2*350 = 70
group c: 0.1*350 = 35
group d: 0.5*350 = 175