Suppose a study estimated that 58% of the residents of a town (with an error range of +- 8 percentage points at 95% confidence) favor expanding the park and recreation department. Which of the following percentages of the town's residents may favor expanding the park and recreation department?

A. 72%
B. 52%
C. 82%
D. 92%

Question

Suppose a study estimated that 58% of the residents of a town (with an error range of +- 8 percentage points at 95% confidence) favor expanding the park and recreation department. Which of the following percentages of the town's residents may favor expanding the park and recreation department?

A. 72%
B. 52%
C. 82%
D. 92%

kj4uts · Answer

attachment

kj4uts · Answer

I think 95% confidence is 2 deviation points

amistre64 · Answer

58 +- error  defines the interval

amistre64 · Answer

58+8 ... so any options higher than that is outside of our interval

anonymous · Answer

can u help me with mine pls

kj4uts · Answer

58+8=66

amistre64 · Answer

interupting someone elses question is considered rude and uncalled for.

kj4uts · Answer

so b. 52 because it is the only one below 66

amistre64 · Answer

correct

kj4uts · Answer

ok thank you

amistre64 · Answer

our interval of course is 50 to 66  just in case we have more options to narrow out of the way

anonymous · Answer

sorry I thought I was on mine

amistre64 · Answer

now that this is done, where is yours?

kj4uts · Answer

so with this question you don't worry about the 95% confidence

amistre64 · Answer

no, the 95% is just how confident we are that the true population parameter is within our interval

kj4uts · Answer

oh ok and 58-8=50 therefore 52 falls within that range

amistre64 · Answer

we are 95% confident that the true population parameter is between 50 and 66

yep

kj4uts · Answer

thanks :)

amistre64 · Answer

youre welcome