in a hypothesis test if alpha 005 what is the probability or area that a positive critical value

Name: in a hypothesis test if alpha 005 what is the probability or area that a positive critical value leaves to the right in a one tail hypothesis two tail hypothesis define the concept of p valu 61145
Uploaded: 2024-04-10T18:00:36-08:00
Duration: 4 min 7 s
Channel: Lucas Finney
Description: in a hypothesis test if alpha 005 what is the probability or area that a positive critical value leaves to the right in a one tail hypothesis two tail hypothesis define the concept of p valu 61145

Step 1: The missing values in the table are the t-statistics for X1 and X3.

Question

9. In a hypothesis test, if a = 0.05, what is the probability or area that a positive critical value leaves to the right in a: • One-tail hypothesis • Two-tail hypothesis 10. Define the concept of p-value for a calculated t-statistic. 11. Suppose that for a particular regression, you obtain the following results: Table 1: Regression Analysis Results Variable Coef. Std err t p-value X1 1.53 1.24 ? 0.1842 X2 -0.97 0.20 -4.85 0.0000 X3 0.25 0.10 ? 0.0123 • Calculate the missing values in the table above • What would you say about the significance of each of these variables? Justify whether they are significant or not and at what level (1, 5, or 10%). 12. What are the null and alternative hypothesis in the F-test? 13. If the F-statistic in a particular regression is 15.11, while the value of Prob (F-statistic) is 0.000263, what would be your conclusion in terms of the estimated coefficients or betas in this regression? 14. If the F-statistic in a particular regression is 1.84, while the value of Prob (F-statistic) is 0.1448, what would be your conclusion in terms of the esti- mated coefficients or betas in this regression? 15. Suppose that you have a variable that includes only 5 possible values (1, 2, 3, 4, or 5). Each value represent a rating given to a particular product by some user. If we were to include this variable as explanatory variable in a linear regression, answer the following: • what do we have to do in order to do so? • how many dummies do we have to construct? • which rating would represent the base case? Justify your answer.

9. In a hypothesis test, if a = 0.05, what is the probability or area that a positive
critical value leaves to the right in a:
• One-tail hypothesis
• Two-tail hypothesis
10. Define the concept of p-value for a calculated t-statistic.
11. Suppose that for a particular regression, you obtain the following results:
Table 1: Regression Analysis Results
Variable
Coef. Std err
t
p-value
X1
1.53
1.24
?
0.1842
X2
-0.97 0.20 -4.85 0.0000
X3
0.25 0.10
? 0.0123
• Calculate the missing values in the table above
• What would you say about the significance of each of these variables?
Justify whether they are significant or not and at what level (1, 5, or
10%).
12. What are the null and alternative hypothesis in the F-test?
13. If the F-statistic in a particular regression is 15.11, while the value of Prob
(F-statistic) is 0.000263, what would be your conclusion in terms of the
estimated coefficients or betas in this regression?
14. If the F-statistic in a particular regression is 1.84, while the value of Prob
(F-statistic) is 0.1448, what would be your conclusion in terms of the esti-
mated coefficients or betas in this regression?
15. Suppose that you have a variable that includes only 5 possible values (1, 2, 3,
4, or 5). Each value represent a rating given to a particular product by some
user. If we were to include this variable as explanatory variable in a linear
regression, answer the following:
• what do we have to do in order to do so?
• how many dummies do we have to construct?
• which rating would represent the base case? Justify your answer.

in a hypothesis test if alpha 005 what is the probability or area that a positive critical value leaves to the right in a one tail hypothesis two tail hypothesis define the concept of p valu 61145

Added by Jose Angel L.

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