It was desired to compare the proportion of male and female students who have at

Question

It was desired to compare the proportion of male and female students who have at least one tattoo. Data was collected with the printout shown below Use it to answer the following questions Hypothesis Test- Two Proportions Sample Size Successes Proportion Females 98 Males 114 Difference 40 0.40816 0.13158 0.27658 15 Null Hypothesis: p1 p2 Alternative Hyp: p1 p2 SE (difference) 0.06038 Z (uncorrected) 4.58 P 0.0001 95% confidence interval of Difference 0.16117 p1-p2 0.39199 Which of the following conclusions would be correct when interpreting the confidence interval shown on the printout? ?F5 F3 F2 8

Explanation / Answer

The 95% confidence interval is,

0.16117 < p1 - p2 < 0.39199

=> 0.16117 + p2 < p1 < 0.39199 + p2

So, we are 95% confident that, p1 > 0.16117 + p2 and p1 < 0.39199 + p2 but we cant say any of the one. So the correct answer will be,

At 95% confidence level, we cannot determine which proportion is larger.

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