Question

A survey​ asked, "How many tattoos do you currently have on your​ body?" Of the 1244 males​ surveyed, 192 responded that they had at least one tattoo. Of the1070 females​ surveyed, 146 responded that they had at least one tattoo. Construct a 99​% 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.

a.Let p1 represent the proportion of males with tattoos and p2 represent the proportion of females with tattoos. Find the

99​% confidence interval for p1 minus p2.

The lower bound=

The upper bound=

b. Interpret the interval.

A. There is a 99​% 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.

B. There is 99​% 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.

C. There is a 99​% 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 99​% 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