The Choice of Where to Build Nests Is an Important$p = 0.30$

Question

Examlex · Accepted Answer

The Answer is a)
28 under the most narrow spaces

\geq 10

19 under wider spaces

\geq 10

Yes, the sample size is sufficient to use the standard normal distribution.
b)

\frac { 24 } { 38 } = 0.6316

c)

\sigma _ { \dot { p } } = \sqrt { \frac { p ( 1 - p ) } { n } } = \sqrt { \frac { 0.3 ( 1 - 0.3 ) } { 38 } } = 0.0743

d)

\begin{array} { l } \hat { p } \pm 1.96 \sqrt { \frac { \hat { p } ( 1 - \hat { p } ) } { n } } \0.6316 \pm 1.96 \sqrt { \frac { 0.6316 ( 1 - 0.6316 ) } { 38 } } \( 0.478,0.785 )\end{array}

e)

\begin{aligned}M E & = 1.96 \sqrt { \frac { \hat { p } ( 1 - \hat { p } ) } { n } } \n & = \left( \frac { 1.96 } { 0.05 } \right) ^ { 2 } ( 0.6316 ) ( 1 - 0.6316 ) \& = 357.55 \rightarrow 358\end{aligned}

The Choice of Where to Build Nests Is an Important $p = 0.30$