According to a report, the standard deviation of monthly cell phone bills was $49.68 three years ago. A researcher suspects that the standard deviation of monthly cell phone bills is different from today.(a) Determine the null and alternative hypotheses.(b) Explain what it would mean to make a Type I error.(c) Explain what it would mean to make a Type Il error.(a) State the hypotheses.Hg:H,:(Type integers or decimals. Do not round.)(b) Explain what it would mean to make a Type I error. Choose the correct answer below.O A. The sample evidence did not lead the researcher to believe the standard deviation of the monthly cell phone bill is different from $49.68, when in fact the standard deviation of the bill is different from $49.68.O B. The sample evidence led the researcher to believe the standard deviation of the monthly cell phone bill is higher than $49.68, when in fact the standard deviation of the bill is $49.68.OC. The sample evidence did not lead the researcher to believe the standard deviation of the monthly cell phone bill is higher than $49.68, when in fact the standard deviation of the bill is higher than $49.68.O D. The sample evidence led the researcher to believe the standard deviation of the monthly cell phone bill is different from $49.68, when in fact the standard deviation of the bill is $49.68.(c) Explain what it would mean to make a Type Il error. Choose the correct answer below.O A. The sample evidence led the researcher to believe the standard deviation of the monthly cell phone bill is different from $49.68, when in fact the standard deviation of the bill is different from $49.68.O B. The sample evidence did not lead the researcher to believe the standard deviation of the monthly cell phone bill is higher than $49.68, when in fact the standard deviation of the bill is higher than $49.68.O C. The sample evidence did not lead the researcher to believe the standard deviation of the monthly cell phone bill is different from $49.68, when in fact the standard deviation of the bill is different from $49.68.O D. The sample evidence led the researcher to believe the standard deviation of the monthly cell phone bill is different from $49.68, when in fact the standard deviation of the bill is $49.68. 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 investin. 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.

Name: According to a report, the standard deviation of monthly cell phone b
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Description: According to a report, the standard deviation of monthly cell phone bills was $49.68 three years ago. A researcher suspects that the standard deviation of monthly cell phone bills is different from today.(a) Determine the null and alternative hypoth

Question

According to a report, the standard deviation of monthly cell phone bills was $49.68 three years ago. A researcher suspects that the standard deviation of monthly cell phone bills is different from today.(a) Determine the null and alternative hypotheses.(b) Explain what it would mean to make a Type I error.(c) Explain what it would mean to make a Type Il error.(a) State the hypotheses.Hg:H,:(Type integers or decimals. Do not round.)(b) Explain what it would mean to make a Type I error. Choose the correct answer below.O A. The sample evidence did not lead the researcher to believe the standard deviation of the monthly cell phone bill is different from $49.68, when in fact the standard deviation of the bill is different from $49.68.O B. The sample evidence led the researcher to believe the standard deviation of the monthly cell phone bill is higher than $49.68, when in fact the standard deviation of the bill is $49.68.OC. The sample evidence did not lead the researcher to believe the standard deviation of the monthly cell phone bill is higher than $49.68, when in fact the standard deviation of the bill is higher than $49.68.O D. The sample evidence led the researcher to believe the standard deviation of the monthly cell phone bill is different from $49.68, when in fact the standard deviation of the bill is $49.68.(c) Explain what it would mean to make a Type Il error. Choose the correct answer below.O A. The sample evidence led the researcher to believe the standard deviation of the monthly cell phone bill is different from $49.68, when in fact the standard deviation of the bill is different from $49.68.O B. The sample evidence did not lead the researcher to believe the standard deviation of the monthly cell phone bill is higher than $49.68, when in fact the standard deviation of the bill is higher than $49.68.O C. The sample evidence did not lead the researcher to believe the standard deviation of the monthly cell phone bill is different from $49.68, when in fact the standard deviation of the bill is different from $49.68.O D. The sample evidence led the researcher to believe the standard deviation of the monthly cell phone bill is different from $49.68, when in fact the standard deviation of the bill is $49.68. 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 investin. 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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