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High School Diplomas in Bloomington, IN

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The U.S. Census Bureau website makes all of its data available to the public in a searchable format. For example you can find facts such as: $93\%$ of the residents of Bloomington, IN aged $25$ years or older have earned their high school diploma (2013).

If a researcher from the University of Indiana takes many random samples of $35$ adults (age $25$ or older) from Bloomington, IN, which of the following best describes the sampling distribution of the proportion who have earned their high school diploma?

A

${ \mu }_{ \hat { p } }=0.93\\\ { \sigma }_{ \hat { p } }=0.007$

B

${ \mu }_{ \hat { p } }=0.93\\\ { \sigma }_{ \hat { p } }=0.043$

C

${ \mu }_{ \hat { p } }=0.93\\\ { \sigma }_{ \hat { p } }=0.007$

D

${ \mu }_{ \hat { p } }=0.93\\\ { \sigma }_{ \hat { p } }=0.043$

E

${ \mu }_{ \hat { p } }=0.93\\\ { \sigma }_{ \hat { p } }=0.326$