Given Information:
The proportion of electric cars sold in 2012 = p₁ = 0.1%
The proportion of electric cars sold in 2016 = p₂ = 0.5%
Sample size of electric cars in 2012 = n₁ = 10,000
Sample size of electric cars in 2016 = n₂ = 20,000
Confidence level = 95%
Required Information:
Change in the proportion of electric cars sold from 2012 to 2016 = ?
Answer:
Change in the proportion of electric cars sold from 2012 to 2016 = (0.284%, 0.516%)
Step-by-step explanation:
The change in the mean is given by
The change in standard error is given by
Where z is the value of z-score corresponding to 95% confidence level.
The change in the proportion of electric cars is
Therefore, we are 95% confident that the change in the proportion of electric cars sold from 2012 to 2016 is between (0.284%, 0.516%)