Two competitive investment fund managers devised a plan to determine which one is better at picking stocks. They hired a statistician to randomly select some stocks from each manager's portfolio and to compare the proportions of these stocks that are valued higher than they were 6 months earlier. Her analysis revealed that 66% of the stocks picked by manager #1 had increased in value while 60% of the stocks picked by manager #2 had increased in value. Her p-value for a two tailed test was 0.3500. At a significance level of 0.05, what should she conclude? o Fund manager #1 is better at picking stocks than fund manager #2. o Fund manager #2 is better at picking stocks than fund manager #1. O There is insufficient evidence to conclude that the two fund managers differ in their ability to pick stocks. o There is sufficient evidence to conclude that the two fund managers differ in their ability to pick stocks.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Two competitive investment fund managers devised a plan to determine which one is better at picking stocks. They hired a statistician to randomly select some stocks from each manager’s portfolio and to compare the proportions of these stocks that are valued higher than they were 6 months earlier. Her analysis revealed that 66% of the stocks picked by manager #1 had increased in value while 60% of the stocks picked by manager #2 had increased in value. Her *p*-value for a two-tailed test was 0.3500. At a significance level of 0.05, what should she conclude?

- ○ Fund manager #1 is better at picking stocks than fund manager #2.
- ○ Fund manager #2 is better at picking stocks than fund manager #1.
- ○ There is insufficient evidence to conclude that the two fund managers differ in their ability to pick stocks.
- ○ There is sufficient evidence to conclude that the two fund managers differ in their ability to pick stocks.
Transcribed Image Text:Two competitive investment fund managers devised a plan to determine which one is better at picking stocks. They hired a statistician to randomly select some stocks from each manager’s portfolio and to compare the proportions of these stocks that are valued higher than they were 6 months earlier. Her analysis revealed that 66% of the stocks picked by manager #1 had increased in value while 60% of the stocks picked by manager #2 had increased in value. Her *p*-value for a two-tailed test was 0.3500. At a significance level of 0.05, what should she conclude? - ○ Fund manager #1 is better at picking stocks than fund manager #2. - ○ Fund manager #2 is better at picking stocks than fund manager #1. - ○ There is insufficient evidence to conclude that the two fund managers differ in their ability to pick stocks. - ○ There is sufficient evidence to conclude that the two fund managers differ in their ability to pick stocks.
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