Question: The television landscape has certainly been changing in recent years as satellite and cable TV providers compete for old-line TV networks' viewers. In fact, prior to 2005, the networks had lost viewers in the \(18-49\) age group for over 10 consecutive years according to a May 2005 article in the Wall Street Journal by Brooks Barnes. However, according to the article, in 2005 the networks will post their first gain in viewers. Suppose that CBS plans to conduct interviews with television viewers in an attempt to estimate the proportion of viewers in the \(18-49\) age group who watch "most" of their television on network \(\mathrm{TV}\) as opposed to cable or satellite. It wishes to have \(95 \%\) confidence and a margin of error in its estimate of \(\pm 0.03 .\) A pilot sample of size 50 was selected and the sample proportion was $0.61 .$ In order to achieve these results with a simple random sample, how many additional viewers should be sampled?

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