Question

9. A recent survey showed that in a sample of 80 surgeons, 15 smoked; in a sample of 150 general practitioners, 20 smoked. Construct a confidence interval for the difference in the proportion of surgeons and general practitioners who smoke. Interpret.

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Answer #1

By using a TI-84 calculator we can solve this question easily.

n1 = 80

x1 = 15

n2 = 150

x2 = 20

We have to construct a confidence interval for the difference in the proportion of surgeons and general practitioners who smoke.

If we have not given the level of significance we can take it 0.05

Ti-84 calculator path is click on STAT ------->TESTS ---------->2-PropZInt ---------> Enter values ------>

x1 = 15

n1 = 80

x2 = 20

n2 = 150

C-Level: 0.95

Calculated

We get confidence interval ( - 0.0472 , 0.1555)

Interpretation: We are 95% confidence that difference in the population proportion lies into above confidence interval.

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