Statistics Solutions

(See) Refer to problem (9). Using the formula on page 468 in our textbook, construct the 95% confidence interval for the difference in proportions p_1-p_2,

Question: Refer to problem (9). Using the formula on page 468 in our textbook, construct the 95% confidence interval for the difference in proportions \[{{p}_{1}}-{{p}_{2}}\] , where \[{{p}_{1}}\] is the proportion of doctors who smoke and \[{{p}_{2}}\] is the proportion of nurses who smoke. Compare this confidence interval to your hypothesis test result in #9. Interpret the result, and explain why you would reject the null hypothesis if the confidence interval did not contain zero.

Doctors Nurses
\[{{x}_{1}}=54\] \[{{x}_{2}}=36\]
\[{{n}_{1}}=150\] \[{{n}_{2}}=180\]
population proportion \[{{p}_{1}}\] population proportion \[{{p}_{2}}\]

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