Suppose a study estimated that 64% of the residents of a town (with an error range of +-12 percentage points at 95% confidence) favor a new community center. Which of the following percentages of the towns residents may favor building a new community center?

Question

kj4uts · Answer

attachment

kj4uts · Answer

Is this a type of a problem where you follow this "to determine the upper and lower bounds of a confidence interval in the form a% (±b%), you must both subtract b% from a% and add b% to a%."

amistre64 · Answer

yes it is

kj4uts · Answer

I a little confused as to what b& and a% is?

amistre64 · Answer

the sample is our basis to judge with,  what does that tell us about a?

amistre64 · Answer

(sample) +- (error) = (range of possibles)

kj4uts · Answer

is the sample the 64%

amistre64 · Answer

yes, 64% of the town ... thats our basis to judge with.  now what?

kj4uts · Answer

the error is the +- 12

(64%)+-(12)

amistre64 · Answer

good,  64  +-  12

kj4uts · Answer

but what is +- does that mean add first (64%)+(12) then subtract (64%)-(12)?

amistre64 · Answer

it means we add and subtract 12 to 64

amistre64 · Answer

64 + 12  is the upper bound

64 - 12  is the lower bound

kj4uts · Answer

76 and 52

amistre64 · Answer

correct, which options is on our range?

kj4uts · Answer

@amistre64 D. 59%