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Chances are, since you are studying AP Statistics, you plan to earn at least a bachelor's degree from college. According to the U.S. Census Bureau, $29\%$ of Americans age $25\text{ years}$ or older have already earned a bachelor's or more advanced degree. You decide to randomly select $58\text{ adults}$ over the age of $25$ to ask if they have earned at least a bachelor's degree.

Describe the sampling distribution of the proportion of respondents who have earned at least a bachelor's degree.

A

The sampling distribution is nearly normal.

${ \mu }_{ \hat { p } }=0.29$
${ \sigma }_{ \hat { p } }=0.06$

B

The sampling distribution is nearly normal.

${ \mu }_{ \hat { p } }=0.29$
${ \sigma }_{ \hat { p } }=0.008$

C

The sampling distribution is not nearly normal.

${ \mu }_{ \hat { p } }=0.29$
${ \sigma }_{ \hat { p } }=0.06$

D

The sampling distribution is not nearly normal.

${ \mu }_{ \hat { p } }=0.29$
${ \sigma }_{ \hat { p } }=0.008$

E

The sampling distribution is not nearly normal.

${ \mu }_{ \hat { p } }=0.29$
${ \sigma }_{ \hat { p } }=0.09$

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