a national survey of 2500 adults citizens of a Nation found that 25% dreaded Val

Question

a national survey of 2500 adults citizens of a Nation found that 25% dreaded Valentine's Day. The margin of error for the survey was 5.4 percentage points with 90% confidence. explain what this means.
which statement below is the best explanation?
a) there is 84.6% to 95.4% confidence that 25% of the adult citizens of the nation dreaded Valentine's Day
b) in 90% of samples of adult citizens of the nation, the proportion that dreaded Valentine's Day is between 0.196 and 0.304.
c) there is 90% confidence that the proportion of the adult citizens of the nation that dreaded Valentine's Day is between 0.196 and 0.304.
d) there is 90% confidence that 25% of the adult citizens of the nation dreaded Valentines Day.

Explanation / Answer

c) there is 90% confidence that the proportion of the adult citizens of the nation that dreaded Valentine's Day is between 0.196 and 0.304.

90% Confidence interval for population proportion

=sample proportion+-margin of error

=0.25+-0.054

=0.25-0.054<p<0.25+0.054

=0.196<p<0.304

lower limit=0.196

upper limit=0.304

we are 90% confident that the true population proportion lies in between

0.196 and 0.304

ANSWER C

c) there is 90% confidence that the proportion of the adult citizens of the nation that dreaded Valentine's Day is between 0.196 and 0.304.

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