Question

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.

Answer 1