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, 156 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=05 versus H₁ p>0.5 and obtained a P-value of 0 2442. Explain what this P-value means and write a conclusion for the researcher (Assume ax is 0.1 or less.) Choose the correct explanation below OA. About 156 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. OB. About 24 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. OC. About 156 in 300 samples will give a sample proportion as high or higher than the one obtained if the population proportion really is 0.5 OD. About 24 in 100 samples will give a sample proportion as high or higher than the one obtained if the population proportion really is 0.5.

MATLAB: An Introduction with Applications
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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, 156 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 \( H_0: p = 0.5 \) versus \( H_1: p > 0.5 \) and obtained a P-value of 0.2442. Explain what this P-value means and write a conclusion for the researcher (Assume \( \alpha \) is 0.1 or less).

Choose the correct explanation below:

A. About 156 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.

B. About 24 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.

C. About 156 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 24 in 100 samples will give a sample proportion as high or higher than the one obtained if the population proportion really is 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, 156 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 \( H_0: p = 0.5 \) versus \( H_1: p > 0.5 \) and obtained a P-value of 0.2442. Explain what this P-value means and write a conclusion for the researcher (Assume \( \alpha \) is 0.1 or less). Choose the correct explanation below: A. About 156 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. B. About 24 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. C. About 156 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 24 in 100 samples will give a sample proportion as high or higher than the one obtained if the population proportion really is 0.5.
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