Q3.1. A recent census asked respondents to state the highest level of education that they had attained. The responses were 37% High School, 43% TAFE or Undergraduate Degree, 13% Higher Degree and 7% Other. A similar survey was held in a small regional town to determine whether the education level distribution differed between the town and the census results. Below are observed counts for each of the education levels for 450 random respondents from the town:

Highest Education Level	Observed Counts
High School TAFE or Undergrad Higher Degree Other	175 195 45 35

[2+1+2+2+1 = 8 marks]

1. If the counts observed for the town matched that of the census, what are the expected counts for each education level?

Highest Education Level	Observed Counts	Expected Counts
High School TAFE or Undergrad Higher Degree Other	175 195 45 35

b) State your hypotheses for the appropriate test.

H₀ :

H_a :

c) Calculate2.

d) State the degrees of freedom and P-value.

e) Give your conclusion (use = 0.05) and interpretation in the context of the question.