Question

find \\(\widehat{p}\\) and \\(\widehat{q}\\). round your answers to three decimal places.
\\(n = 76\\) and \\(x = 30\\)
\\(\widehat{p} = \square\\)
\\(\widehat{q} = \square\\)

Explanation:

Step1: Calculate sample proportion $\hat{p}$

$\hat{p} = \frac{X}{n} = \frac{30}{76} \approx 0.3947$

Step2: Calculate $\hat{q}$ as complement of $\hat{p}$

$\hat{q} = 1 - \hat{p} = 1 - 0.3947 = 0.6053$

Step3: Round to three decimal places

$\hat{p} \approx 0.395$, $\hat{q} \approx 0.605$

Answer:

$\hat{p} = 0.395$, $\hat{q} = 0.605$