2. A study by the National Athletic Trainers Association surveyed 1679 high scho

Question

2. A study by the National Athletic Trainers Association surveyed 1679 high school freshmen and 1366 high school seniors in Illinois. Results showed that 34 of the freshmen and 24 of the seniors had used anabolic steroids. Steroids, which are dangerous, are sometimes used to improve athletic performance. Give and interpret a 95% confidence interval for the proportion of all high school freshmen in Illinois who have used steroids.| a) b) Is there a significant difference between the proportions of freshmen and seniors who have used steroids using the 4 C's (context, conditions, calculations, and conclusion)? Context: Conditions: Calculation (use MiniTab): Conclusion:

Explanation / Answer

(a)

95% CI for high school freshmen in Illinois is (0.014,0.028)

(b)The proportion for feshman=0.020

proportion for senior=0.018

as the p-value for a significant test of proportion at 0.05 LOS is 0.6488(>0.05).

and we fail to reject the null hypothesis.

Hence, accept the null hypothesis that there is no any significant difference between the proportions of two sample.

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