370 WEB file NYSEStocks Chapter 8 Interval Estimation moign 47. Many stock market observers say that when the P/E ratio for stocks gets over 20 the market is overvalued. The P/E ratio is the stock price divided by the most recent 12 months of Suppose you are interested in seeing whether the current market is overvalued and would also like to know what proportion of companies pay dividends. A random sample of 30 companies listed on the New York Stock Exchange (NYSE) is provided (Barron's, January 19, 2004). f earnings. Company Albertsons BRE Prop CityNtl DelMonte EnrgzHldg Ford Motor Gildan A HudsnUtdBcp IBM Jeff Pilot KingswayFin Libbey MasoniteIntl Motorola Ntl City a. Dividend Yes Yes Yes No No Yes No Yes Yes Yes No Yes No Yes Yes P/E Ratio 14 18 16 21 20 22 12 13 22 16 6 13 15 68 10 Company NY Times A Omnicare PallCp PubSvcEnt SensientTch SmtProp TJX Cos Thomson USB Hldg US Restr Varian Med Visx Waste Mgt Wiley A Yum Brands Dividend Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes No No No Yes No P/E Ratio 25 25 23 11 11 12 21 30 12 26 41 72 23 21 18 What is a point estimate of the P/E ratio for the population of stocks listed on the New York Stock Exchange? Develop a 95% confidence interval. C. b. Based on your answer to part (a), do you believe that the market is overvalued? What is a point estimate of the proportion of companies on the NYSE that pay divi- dends? Is the sample size large enough to justify using the normal distribution to con- struct a confidence interval for this proportion? Why or why not?

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