Question

cars in a lot were marked with 28 domestic and 17 foreign. if we are considering the proportion that are domestic, compute
\hat{p} and \hat{q}

\bigcirc \hat{p} is 62.2\\% and \hat{q} is 37.8\\%

\bigcirc \hat{p} is 25\\% and \hat{q} is 75\\%

\bigcirc \hat{p} is 37.8\\% and \hat{q} is 62.2\\%

\bigcirc \hat{p} is 75\\% and \hat{q} is 25\\%

Explanation:

Step1: Calculate total number of cars

Total cars = 28 domestic + 17 foreign = 45

Step2: Compute $\hat{p}$ (domestic proportion)

$\hat{p} = \frac{28}{45} \approx 0.622 = 62.2\%$

Step3: Compute $\hat{q}$ (foreign proportion)

$\hat{q} = 1 - \hat{p} = 1 - 0.622 = 0.378 = 37.8\%$

Answer:

$\hat{p}$ is 62.2% and $\hat{q}$ is 37.8%