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 n. 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 o= 0.5 versus H,: 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 a is 0.1 or less.) Choose the correct explanation below. O 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. O 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. OC. 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. O D. 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. Choose the correct conclusion below. O A. Because the P-value is small, do not reject the null hypothesis. There is not sufficient evidence to conclude that the dart-picking strategy resulted in a majority of winners. O B. Because the P-value is large, do not reject the null hypothesis. There is not sufficient evidence to conclude that the dart-picking strategy resulted in a majority of winners. OC. Because the P-value is large, reject the null hypothesis. There is sufficient evidence to conclude that the dart-picking strategy resulted in a majority of winners. O D. Because the P-value is small, reject the null hypothesis. There s sufficient evidence to conclude that the dart-picking strategy resulted in a majority of winners.

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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,:
p= 0.5 versus H,: 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 a is 0.1 or less.)
Choose the correct explanation below.
O 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.
O 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.
OC. 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.
O D. 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.
Choose the correct conclusion below.
O A. Because the P-value is small, do not reject the null hypothesis. There is not sufficient evidence to conclude that the dart-picking strategy resulted in a majority of winners.
O B. Because the P-value is large, do not reject the null hypothesis. There is not sufficient evidence to conclude that the dart-picking strategy resulted in a majority of winners.
OC. Because the P-value is large, reject the null hypothesis. There is sufficient evidence to conclude that the dart-picking strategy resulted in a majority of winners.
O D. Because the P-value is small, reject the null hypothesis. There is sufficient evidence to conclude that the dart-picking strategy resulted in a majority of winners.
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,: p= 0.5 versus H,: 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 a is 0.1 or less.) Choose the correct explanation below. O 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. O 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. OC. 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. O D. 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. Choose the correct conclusion below. O A. Because the P-value is small, do not reject the null hypothesis. There is not sufficient evidence to conclude that the dart-picking strategy resulted in a majority of winners. O B. Because the P-value is large, do not reject the null hypothesis. There is not sufficient evidence to conclude that the dart-picking strategy resulted in a majority of winners. OC. Because the P-value is large, reject the null hypothesis. There is sufficient evidence to conclude that the dart-picking strategy resulted in a majority of winners. O D. Because the P-value is small, reject the null hypothesis. There is sufficient evidence to conclude that the dart-picking strategy resulted in a majority of winners.
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