Question: Using data from the past 25 years, an investor wants to test whether the average return on a stock is greater than 12%. Assume returns
Using data from the past 25 years, an investor wants to test whether the average return on a stock is greater than 12%. Assume returns are normally distributed with a population standard deviation of 30%.
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| Year | Return |
| 1 | -5.03 |
| 2 | 49.88 |
| 3 | 38.73 |
| 4 | -14.19 |
| 5 | 30.4 |
| 6 | -19.86 |
| 7 | 4.37 |
| 8 | -19.41 |
| 9 | 93.36 |
| 10 | -5.42 |
| 11 | -4.48 |
| 12 | -0.75 |
| 13 | -38.92 |
| 14 | -3.91 |
| 15 | 28.82 |
| 16 | -7.34 |
| 17 | 18.33 |
| 18 | 33.35 |
| 19 | 59.45 |
| 20 | 8.09 |
| 21 | 43.79 |
| 22 | 34.3 |
| 23 | 36.13 |
| 24 | -56.02 |
| 25 | 76.46 |
a.Select the null and the alternative hypotheses for the test.
multiple choice 1
a)H0: 12;HA:> 12
b)H0:= 12;HA: 12
c)H0: 12;HA:< 12
b-1.Calculate the value of the test statistic.(Round final answer to 2 decimal places.)
test statistic=
b-2.Find thep-value.
a)p-value < 0.01
b)0.01 p-value < 0.025
c)0.025 p-value < 0.05
d)0.05 p-value < 0.10
e)p-value 0.10
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