Statistics Solutions

(Steps Shown) Refer to problem (9). Using the formula on page 444 in our textbook, construct the 95% confidence interval for the difference in proportions p

Question: Refer to problem (9). Using the formula on page 444 in our textbook, construct the 95% confidence interval for the difference in proportions p 1 -p 2 , where p 1 is the proportion of 36 – 50 year olds who get their news primarily from newspapers, and p 2 is the proportion of over 50 year olds who get their news primarily from newspapers. Interpret the results. Compare this confidence interval to your hypothesis test result in #9. Explain why you would reject the null hypothesis if the confidence interval did not contain zero.

36 – 50 year olds Over 50 year olds
\[{{x}_{1}}=82\] \[{{x}_{2}}=104\]
\[{{n}_{1}}=200\] \[{{n}_{2}}=200\]

Population proportion \[{{p}_{1}}\] Population proportion \[{{p}_{2}}\]

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