What is the test statistic?(3 decimal places) What is the critical value(s)?(3 decimal places) Reject or don’t reject?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
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What is the test statistic?(3 decimal places) What is the critical value(s)?(3 decimal places) Reject or don’t reject?
0
td
td
ati
are
V
eci
ct d
TI
ect
Table of critical t-distribution values
C
Student's t-distribution
Probabilities under the t-distribution Curve
1 Tail
2 Tail
Conf Lev
df
1
2
3
4
5
6
7
8
9
10
0.200
0.400
0.600
1.376
1.061
0.978
0.941
0.920
0.906
0.896
0.889
0.883
0.879
0.100
0.200
0.800
3.078
1.886
1.638
1.533
1.476
1.440
1.415
1.397
1.383
1.372
0.050
0.100
0.900
6.314
2.920
2.353
2.132
2.015
1.943
1.895
1.860
1.833
1.812
0.025 0.010
0.050
0.020
0.950
0.980
31.821
6.965
4.541
3.747
3.365
2.447
3.143
2.365
2.998
2.306
2.896
2.262
2.821
2.228 2.764
12.706
4.303
3.182
2.776
2.571
0.005
0.010
0.990
63.657
9.925
5.841
4.604
4.032
3.707
3.499
3.355
3.250
3.169
-
X
Transcribed Image Text:0 td td ati are V eci ct d TI ect Table of critical t-distribution values C Student's t-distribution Probabilities under the t-distribution Curve 1 Tail 2 Tail Conf Lev df 1 2 3 4 5 6 7 8 9 10 0.200 0.400 0.600 1.376 1.061 0.978 0.941 0.920 0.906 0.896 0.889 0.883 0.879 0.100 0.200 0.800 3.078 1.886 1.638 1.533 1.476 1.440 1.415 1.397 1.383 1.372 0.050 0.100 0.900 6.314 2.920 2.353 2.132 2.015 1.943 1.895 1.860 1.833 1.812 0.025 0.010 0.050 0.020 0.950 0.980 31.821 6.965 4.541 3.747 3.365 2.447 3.143 2.365 2.998 2.306 2.896 2.262 2.821 2.228 2.764 12.706 4.303 3.182 2.776 2.571 0.005 0.010 0.990 63.657 9.925 5.841 4.604 4.032 3.707 3.499 3.355 3.250 3.169 - X
The accompanying data have a correlation coefficient, rounded to three decimal places, of 0.868. Perform a hypothesis test with the data to determine if the population correlation coefficient p is not equal to zero
using a 0.01.
Click the icon to view the sample data.
Click the icon to view an excerpt from a table of Student's t-distribution values.
H₁: p=0
What is the test statistic?
t= (Round to three decima
What is the critical value? Sele
(Round to three decimal place
OA. ta/2=
OB. ta
What is the correct conclusion
Sample data
X
y
5
5
Print
8
3
10 5
5 5
5
7
Done
D
- X
O A. Reject Ho. There is enough evidence from the sample to conclude that a relationship exists between the two variables.
O B. Do not reject Ho. There is enough evidence from the sample to conclude that a relationship exists between the two variables.
OC. Do not reject Ho. There is not enough evidence from the sample to conclude that a relationship exists between the two variables
O D. Reject Ho. There is not enough evidence from the sample to conclude that a relationship exists between the two variables.
A
Time Remaining: 01:50:18
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Transcribed Image Text:The accompanying data have a correlation coefficient, rounded to three decimal places, of 0.868. Perform a hypothesis test with the data to determine if the population correlation coefficient p is not equal to zero using a 0.01. Click the icon to view the sample data. Click the icon to view an excerpt from a table of Student's t-distribution values. H₁: p=0 What is the test statistic? t= (Round to three decima What is the critical value? Sele (Round to three decimal place OA. ta/2= OB. ta What is the correct conclusion Sample data X y 5 5 Print 8 3 10 5 5 5 5 7 Done D - X O A. Reject Ho. There is enough evidence from the sample to conclude that a relationship exists between the two variables. O B. Do not reject Ho. There is enough evidence from the sample to conclude that a relationship exists between the two variables. OC. Do not reject Ho. There is not enough evidence from the sample to conclude that a relationship exists between the two variables O D. Reject Ho. There is not enough evidence from the sample to conclude that a relationship exists between the two variables. A Time Remaining: 01:50:18 Next
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