The Gallup Poll asked a random sample of 1785 adults whether they attended church during the past week. Let
[tex]
\hat{p}
[/tex]
be the proportion of people in the sample who attended church. A newspaper report claims that [tex]40 \%[/tex] of all U.S. adults went to church last week. Suppose this claim is true. Find the standard deviation of the sampling distribution of
[tex]\hat{p}[/tex]
Check to see if the [tex]10 \%[/tex] condition is met.
