Sampling

To obratin our samples, we went to the parking lots of Victoria Plaza, Marcs, and Westbury in North Olmsted and counted the total amount of cars within each parking lot, as well as the number of red and green cars. We collected 23 sets of data, recording the total amount of cars overall in each parking lot, as well as the number of green and red cars in each parking lot. The population of interest is all the cars within North Olmsted. The populations of interest are green cars and red cars within North Olmsted.

 

 

Significance Test

P 1 = The true proportion of red/green cars in North Olmsted

1. Ho: P1=0.1394 --> 0.1394 is the proportion of red/green cars in the U.S.

2. Ha: P1 ≠ 0.1394

3. α = 0.05

4. Assumptions: n1(p1)=2638  n1(1-p1)=10801.06

The sampling was random and independent.

Our sample size was 13,439 cars as compared to the total of 241,157,054 cars total in the US, so the sample size is less than 10% of the population.

5.=19.0424

6. P-value=0.000

7.Conclusion: We reject the null hypothesis at any level of significance because our p-value is 0. Thus, there is sufficient evidence to support the claim that the true proportion of red/green cars in North Olmsted is not equal to the proportion of red/green cars in the U.S.