A survey asked, \"How many tattoos do you currently have on your body?\" Of the
ID: 3290711 • Letter: A
Question
A survey asked, "How many tattoos do you currently have on your body?" Of the 1220 males surveyed,176responded that they had at least one tattoo. Of the1071 females surveyed,132 responded that they had at least one tattoo. Construct a 95%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.
The 95% confidence interval for p1p2 is
I thought I was doing this right, but I must be messing something up. Also please round the final answer to three decimal place, thank you.
Explanation / Answer
The statistical software output for this problem is:
Two sample proportion summary confidence interval:
p1 : proportion of successes for population 1
p2 : proportion of successes for population 2
p1 - p2 : Difference in proportions
95% confidence interval results:
Hence,
95% confidence interval will be:
(-0.007, 0.049)
We are 95% confident that the difference in proportion will lie in this interval.
Difference Count1 Total1 Count2 Total2 Sample Diff. Std. Err. L. Limit U. Limit p1 - p2 176 1220 132 1071 0.021012995 0.01421564 -0.0068491475 0.048875138Related Questions
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