In: Statistics and Probability
A survey asked, "How many tattoos do you currently have on your body?" Of the
1207
males surveyed,
197
responded that they had at least one tattoo. Of the
1028
females surveyed,
135
responded that they had at least one tattoo. Construct a
90
%
confidence interval to judge whether the proportion of males that have at least one tattoo differs significantly from the proportion of females that have at least one tattoo. Interpret the interval.
Let
p 1
represent the proportion of males with tattoos and
p 2
represent the proportion of females with tattoos. Find the
90
%
confidence interval for
p 1 minus p 2
.
The lower bound is
nothing
.
The upper bound is
nothing
.
(Round to three decimal places as needed.)
Interpret the interval.
A.
There is
90
%
confidence that the difference of the proportions is in the interval. Conclude that there is
insufficient evidence of a
significant difference in the proportion of males and females that have at least one tattoo.
B.
There is a
90
%
probability that the difference of the proportions is in the interval. Conclude that there is
insufficient evidence of a
significant difference in the proportion of males and females that have at least one tattoo.
C.
There is a
90
%
probability that the difference of the proportions is in the interval. Conclude that there is
a
significant difference in the proportion of males and females that have at least one tattoo.
D.
There is
90
%
confidence that the difference of the proportions is in the interval. Conclude that there is
a
significant difference in the proportion of males and females that have at least one tattoo.