Suppose we additionally collected information on variance of the return (risk) for the same year. We would like to know if stock return and risk are independent of each other. We modify the above table as follows:
Return | ||||
Risk | Low | Average | High | Total |
Low | 100 | 225 | 25 | 350 |
High | 25 | 50 | 75 | 150 |
Total | 125 | 275 | 100 | 500 |
What is the expected frequency for the stocks with high return and low risk?
40 |
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50 |
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60 |
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70 |
2 points
QUESTION 7
To answer this question, refer to Exhibit 2 in question 6.
What is the test statistic for this test (to 2 decimal places)?
115.45 |
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120.67 |
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135.89 |
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142.53 |
2 points
QUESTION 8
To answer this question, refer to Exhibit 2 in question 6.
How many degrees of freedom we have for this test?
1 |
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2 |
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3 |
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4 |
2 points
QUESTION 9
To answer this question, refer to Exhibit 2 in question 6.
At a level of significance of 0.05, what is your conclusion?
The null hypothesis that stock return and risk are independent cannot be rejected. |
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The null hypothesis that stock return and risk are independent can be rejected. |
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Need more information. |
2 points
QUESTION 10
To answer this question, refer to Exhibit 2 in question 6.
According to the economic theory, what do you expect the relationship between risk and return?
Positive |
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Negative |
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No relationship |
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Need more information |
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