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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