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2 years ago

I FINALLY GOT BASKETBALL SHOES TODAY EEK!!!

Advanced Placement (AP)

2 answers:

laila [671]2 years ago

7 0

CONGRATS!! i have some too

diamong [38]2 years ago

6 0

Answer:

now u got to show off to the haters bro/broette

Explanation:

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Electric vehicles make up a very small proportion of the overall car market, but by how much has that proportion increased? Inde

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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

$\mu = p_2 - p_1\\\\\mu = 0.005 -0.001\\\\\mu = 0.004\\\\$

The change in standard error is given by

$SE = z\cdot\sqrt{\frac{p_1(1 - p_1)}{n_1} + \frac{p_2(1 - p_2)}{n_2} }$

Where z is the value of z-score corresponding to 95% confidence level.

$z_{\alpha/2} = 1 - 0.95 = 0.05/2 = 0.025\\\\z_{0.025} = 1.96\\\\$

$SE = 1.96\cdot\sqrt{\frac{0.001(1 - 0.001)}{10,000} + \frac{0.005(1 - 0.005)}{20,000} } \\\\SE = 1.96\cdot 0.00059\\\\SE = 0.00116\\\\$

The change in the proportion of electric cars is

$\mu \pm SE \\\\0.004\pm 0.00116 \\\\(0.004-0.00116) \: and \: (0.004-0.00116)\\\\(0.00284, \: 0.00516)\\\\(0.284\%, \: 0.516\%)$

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%)

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