You are testing the null hypothesis that there is no relationship between two variables, X and Y. From your sample of n = 20, you determine that SSR = 80 and SSE 20. Complete parts (a) through (e) below. a. What is the value of FSTAT? State the hypotheses to test. Choose the correct answer below. OA H B₁50 H₁ B₁0 OC. Ho B₁ #0 H₁ = B₁ = 0 = 72 (Round to the nearest integer as needed) FSTAT = b. At the a=0.05 level of significance, what is the critical value? The critical value is 4.41 (Round to two decimal places as needed.) c. Based on your answers to (3) and (b), what statistical decision should you make? A. Reject H. There is no evidence that there is a relationship between X and Y. OB. Do not reject H. There is no evidence that there is a relationship between X and Y. OC. Do not reject H,. There is evidence that there is a relationship between X and Y D. Reject H. There is evidence that there is a relationship between X and Y. d. Compute the correlation coefficient by first computing and assuming that b, is negative. T = 0.8000 (Round to four decimal places as needed ) г= 0.8944 (Round to four decimal places as needed.) e. At the 0.05 level of significance, is there a significant correlation between X and Y? Determine the null and alternative hypotheses for this test. OA Hop 0 H₁: p=0 C. Ho p=0 H₁p=0 Find the test statistic, t3TAT- ESTAT (Round to four decimal places as needed) OB. HP 20 H₁: B₁<0 D. Ho B₁=0 HB0 OB. Hops0 H₁: p>0 OD. Ho p20 H₁ p=0
You are testing the null hypothesis that there is no relationship between two variables, X and Y. From your sample of n = 20, you determine that SSR = 80 and SSE 20. Complete parts (a) through (e) below. a. What is the value of FSTAT? State the hypotheses to test. Choose the correct answer below. OA H B₁50 H₁ B₁0 OC. Ho B₁ #0 H₁ = B₁ = 0 = 72 (Round to the nearest integer as needed) FSTAT = b. At the a=0.05 level of significance, what is the critical value? The critical value is 4.41 (Round to two decimal places as needed.) c. Based on your answers to (3) and (b), what statistical decision should you make? A. Reject H. There is no evidence that there is a relationship between X and Y. OB. Do not reject H. There is no evidence that there is a relationship between X and Y. OC. Do not reject H,. There is evidence that there is a relationship between X and Y D. Reject H. There is evidence that there is a relationship between X and Y. d. Compute the correlation coefficient by first computing and assuming that b, is negative. T = 0.8000 (Round to four decimal places as needed ) г= 0.8944 (Round to four decimal places as needed.) e. At the 0.05 level of significance, is there a significant correlation between X and Y? Determine the null and alternative hypotheses for this test. OA Hop 0 H₁: p=0 C. Ho p=0 H₁p=0 Find the test statistic, t3TAT- ESTAT (Round to four decimal places as needed) OB. HP 20 H₁: B₁<0 D. Ho B₁=0 HB0 OB. Hops0 H₁: p>0 OD. Ho p20 H₁ p=0
Essentials of Business Analytics (MindTap Course List)
2nd Edition
ISBN:9781305627734
Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Publisher:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Chapter5: Probability: An Introduction To Modeling Uncertainty
Section: Chapter Questions
Problem 28P
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Transcribed Image Text:You are testing the null hypothesis that there is no relationship between two variables, X and Y. From your sample of n = 20, you determine that SSR = 80 and SSE 20. Complete parts (a) through (e) below.
a. What is the value of FSTAT?
State the hypotheses to test. Choose the correct answer below.
OA H B₁50
H₁ B₁0
OC. Ho B₁ #0
H₁ = B₁ = 0
= 72 (Round to the nearest integer as needed)
FSTAT =
b. At the a=0.05 level of significance, what is the critical value?
The critical value is 4.41
(Round to two decimal places as needed.)
c. Based on your answers to (3) and (b), what statistical decision should you make?
A. Reject H. There is no evidence that there is a relationship between X and Y.
OB. Do not reject H. There is no evidence that there is a relationship between X and Y.
OC. Do not reject H,. There is evidence that there is a relationship between X and Y
D. Reject H. There is evidence that there is a relationship between X and Y.
d. Compute the correlation coefficient by first computing and assuming that b, is negative.
T
= 0.8000 (Round to four decimal places as needed )
г=
0.8944 (Round to four decimal places as needed.)
e. At the 0.05 level of significance, is there a significant correlation between X and Y?
Determine the null and alternative hypotheses for this test.
OA Hop 0
H₁: p=0
C. Ho p=0
H₁p=0
Find the test statistic, t3TAT-
ESTAT
(Round to four decimal places as needed)
OB. HP 20
H₁: B₁<0
D. Ho B₁=0
HB0
OB. Hops0
H₁: p>0
OD. Ho p20
H₁ p=0
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