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Musya8 [376]
3 years ago
8

The number of drunk driving fatalities has decreased in the last twenty-five years. True False

Advanced Placement (AP)
2 answers:
emmasim [6.3K]3 years ago
5 0
False due to an increase of DUI's and phone usage
madam [21]3 years ago
4 0
Most Likely false if anything it has increased
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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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