Not understanding how they’re getting the p value

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.1: Systems Of Equations
Problem 49E
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Not understanding how they’re getting the p value
t value for
A study of traits in people was conducted. A rating score was determined for each in a sample of people of a large Independent
university. For one portion of the study, the researcher modeled a person's score (y) as a function of age, gender, variable
education, and income. Data on n= 193 people yielded the results in the table to the right. Complete parts a
through c.
p-value
Họ: B; = 0
Age (x1)
Gender (x2)
0.10
>0.10
2.05
<0.10
Education (x3)
Income (x4)
0.52
>0.10
- 0.55
>0.10
Overall model: R = 0.11, F = 5.81 (p-value <0.01)
a. Conduct a test of overall model utility. Use a = 0.10. What are the null and alternative hypotheses?
A. Ho: B1 = B2 = B3 =B4 = 0
O B. Ho: At least one ß, #0
Ha: Po = B1 = B2 = ß3 = B4 = 0
Ha: At least one B, #0
O C. Ho: At least one ß, #0
O D. Ho: Po = B1 = B2 = B3 = B4 = 0
Ha: At least one B; # 0
Ha: B1 = B2 = B3 = B4 = 0
What is the test statistic?
F = 5.81 (Round to two decimal places as needed.)
What is the p-value?
p= 0.0000 (Round to four decimal places as needed.)
Transcribed Image Text:t value for A study of traits in people was conducted. A rating score was determined for each in a sample of people of a large Independent university. For one portion of the study, the researcher modeled a person's score (y) as a function of age, gender, variable education, and income. Data on n= 193 people yielded the results in the table to the right. Complete parts a through c. p-value Họ: B; = 0 Age (x1) Gender (x2) 0.10 >0.10 2.05 <0.10 Education (x3) Income (x4) 0.52 >0.10 - 0.55 >0.10 Overall model: R = 0.11, F = 5.81 (p-value <0.01) a. Conduct a test of overall model utility. Use a = 0.10. What are the null and alternative hypotheses? A. Ho: B1 = B2 = B3 =B4 = 0 O B. Ho: At least one ß, #0 Ha: Po = B1 = B2 = ß3 = B4 = 0 Ha: At least one B, #0 O C. Ho: At least one ß, #0 O D. Ho: Po = B1 = B2 = B3 = B4 = 0 Ha: At least one B; # 0 Ha: B1 = B2 = B3 = B4 = 0 What is the test statistic? F = 5.81 (Round to two decimal places as needed.) What is the p-value? p= 0.0000 (Round to four decimal places as needed.)
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