Mathematics: There are 318 teachers at a college. among a sample of 115 teachers from this college, 67 have doctorates. based on this sample, estimate the population proportion of teachers at this college with doctorates.

There are 318 teachers at a college. among a sample

emelylugo33

12.01.2022

$\dfrac{67}{115}$ 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

$=\hat{p}=\dfrac{x}{n}\\\\=\dfrac{67}{115}=0.582608695652\approx0.5826$

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 = $\hat{p}=\dfrac{67}{115}\ or\ 0.5826$

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pettygirl13

22.11.2022

Can you explain more? you have to calculate it by an theorm

Step-by-step explanation:

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