Answer: [tex]\dfrac{67}{115}[/tex] or 0.5826
Step-by-step explanation:
Given : The total number of teachers in at a college = 318
In sample of n= 115 teachers from this college, the number of teachers with doctorates : x=67
Then, the sample proportion of teachers at this college with doctorates
[tex]=\hat{p}=\dfrac{x}{n}\\\\=\dfrac{67}{115}=0.582608695652\approx0.5826[/tex]
Since the sample proportion is the best estimate of the population proportion.
Therefore , the estimated the population proportion of teachers at this college with doctorates = [tex]\hat{p}=\dfrac{67}{115}\ or\ 0.5826[/tex]
