Some have argued that throwing darts at the stock pages to decide which companies to invest in could be a successful stock-picking strategy. Suppose a researcher decides to test this theory and randomly chooses 300 companies to invest in. After 1 year, 159 of the companies were considered winners; that is, they outperformed other companies in the same investment class. To assess whether the dart-picking strategy resulted in a majority of winners, the researcher tested Ho:p= 0.5 versus H,: p>0.5 and obtained a P-value of 0.1493. Explain what this P-value means and write a conclusion for the researcher. (Assume a is 0.1 or less.) ..... Choose the correct explanation below. A. About 15 in 100 samples will give a sample proportion as high or higher than the one obtained if the population proportion really is greater than 0.5. O B. About 15 in 100 samples will give a sample proportion as high or higher than the one obtained if the population proportion really is 0.5. O C. About 159 in 300 samples will give a sample proportion as high or higher than the one obtained if the population proportion really is 0.5. O D. About 159 in 300 samples will give a sample proportion as high or higher than the one obtained if the population proportion really is greater than 0.5.

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Some have argued that throwing darts at the stock pages to decide which companies to invest in could be a successful stock-picking strategy.
Suppose a researcher decides to test this theory and randomly chooses 300 companies to invest in. After 1 year, 159 of the companies were
considered winners; that is, they outperformed other companies in the same investment class. To assess whether the dart-picking strategy
resulted in a majority of winners, the researcher tested Ho: p= 0.5 versus H4: p> 0.5 and obtained a P-value of 0.1493. Explain what this
P-value means and write a conclusion for the researcher. (Assume a is 0.1 or less.)
Choose the correct explanation below.
O A. About 15 in 100 samples will give a sample proportion as high or higher than the one obtained if the population proportion really is
greater than 0.5.
B. About 15 in 100 samples will give a sample proportion as high or higher than the one obtained if the population proportion really is 0.5.
C. About 159 in 300 samples will give a sample proportion as high or higher than the one obtained if the population proportion really is 0.5.
D. About 159 in 300 samples will give a sample proportion as high or higher than the one obtained if the population proportion really is
greater than 0.5.
Transcribed Image Text:Some have argued that throwing darts at the stock pages to decide which companies to invest in could be a successful stock-picking strategy. Suppose a researcher decides to test this theory and randomly chooses 300 companies to invest in. After 1 year, 159 of the companies were considered winners; that is, they outperformed other companies in the same investment class. To assess whether the dart-picking strategy resulted in a majority of winners, the researcher tested Ho: p= 0.5 versus H4: p> 0.5 and obtained a P-value of 0.1493. Explain what this P-value means and write a conclusion for the researcher. (Assume a is 0.1 or less.) Choose the correct explanation below. O A. About 15 in 100 samples will give a sample proportion as high or higher than the one obtained if the population proportion really is greater than 0.5. B. About 15 in 100 samples will give a sample proportion as high or higher than the one obtained if the population proportion really is 0.5. C. About 159 in 300 samples will give a sample proportion as high or higher than the one obtained if the population proportion really is 0.5. D. About 159 in 300 samples will give a sample proportion as high or higher than the one obtained if the population proportion really is greater than 0.5.
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