Tn 1991, the National Health Intarview Survey faund 10752 out of 47,000 adults w

Question

Tn 1991, the National Health Intarview Survey faund 10752 out of 47,000 adults wara smokers. A similar stury conducted in 2003 found 7132 smokers out of 33,326adults. (Using StatCrunch, entar tha numerator and denominators for hoth samples: Stat Praportion Stats > Two Sample With Summary. Visual of StatCrunch instructions here: https:/www.screecast.comtN1THCv) (a) Find tha sampla statistic P1 Pcos, the diffarenca hetwoan the proportion of smokers in 1091 and the propartion af smckers in 2003. (3 decimel places). b ConstrucI d 99% confidence interval for P1991 P200J he rue difference between the proportion of current strokes in 1991 and lhe proportion of current smokers 2003. Lower Limit (3 dedimal places) Upper Lirmit (2 desimal places) ) Which af the following is a correct statment abaut tha above confidenca intarval? The interval contains zero, which is evidence of a decrease of adult smokers All the values in the interval are above 0, which is not evidence of a decrease of aduit smokers Tha interval contalns zero, which is not evidence of a decrease of adult smokers O All the values in tha intarval are hava 0, which i evidence of decrease of duit smnkers. (d) Conclusion Thara ls evldence that the proportion of currant aduit smakars Increased during this time period. There is evidence that the proportion of current adult smokers did not change during this time period. There is evidence that the proportion of current adult smokers decreased during this time period

Explanation / Answer

The StatCrunch 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

99% confidence interval results:

Hence,

a) Sample statistic = 0.042

b) 99% confidence interval:

Lower limit = 0.034

Upper limit = 0.050

c) All the values are above 0, which is evidence of a decrease in adult smokers; Option D is correct.

d) There is evidence that the proportion has decreased. Option C is correct.

Difference Count1 Total1 Count2 Total2 Sample Diff. Std. Err. L. Limit U. Limit p1 - p2 10752 42000 7132 33326 0.041992918 0.0030955143 0.034019402 0.049966435

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