The data in the accompanying table represent the heights and weights of a random sample of professional baseball players. Complete parts (a) through (c) below. E Click the icon to view the data table. Test whether there is a linear relation between height and weight at the a = 0.05 level of significance. State the null and alternative hypotheses. Choose the correct answer below. O A. Ho: Po =0 H: Bo >0 O B. Ho: Po =0 H: Bo #0 OC. Ho: P, =0 H,: B, #0 OD. Ho: B, =0 H;: B, >0 Determine the P-value for this hypothesis test. P-value = (Round to three decimal places as needed.) State the appropriate conclusion at the a = 0.05 level of significance. Choose the correct answer below. O A. Do not reject Ho. There s sufficient evidence to conclude that a linear relation exists between the height and weight of baseball players. OB not reject Ho. There is not sufficient evidence conclude that a linear relation between the height and weight of baseball players. OC. Reject Hn. There is not sufficient evidence to conclude that a linear relation exists between the height and weight of baseball players. O D. Reject Hn. There is sufficient evidence to conclude that a linear relation exists between the height and weight of baseball players.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 20PFA
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The data in the accompanying table represent the heights and weights of a random sample of professional baseball players. Complete parts (a) through (c) below.
Click the icon to view the data table.
Test whether there is a linear relation between height and weight at the a = 0.05 level of significance.
State the null and alternative hypotheses. Choose the correct answer below.
O A. Ho: Po = 0
%3D
H: Po >
B. Ho: Bo = 0
H1: Bo #0
O C. Ho: B1 =0
H1: B, #0
O D. Ho: B1 = 0
H4: B1 >0
Determine the P-value for this hypothesis test.
P-value =
(Round to three decimal places as needed.)
State the appropriate conclusion at the a = 0.05 level of significance. Choose the correct answer below.
A. Do not reject Ho. There is sufficient evidence to conclude that a linear relation exists between the height and weight of baseball players.
B. Do not reject Ho. There is not sufficient evidence to conclude that a linear relation exists between the height and weight of baseball players.
C. Reject Ho: There is not sufficient evidence to conclude that a linear relation exists between the height and weight of baseball players.
O D. Reject Ho. There is sufficient evidence to conclude that a linear relation exists between the height and weight of baseball players.
Transcribed Image Text:The data in the accompanying table represent the heights and weights of a random sample of professional baseball players. Complete parts (a) through (c) below. Click the icon to view the data table. Test whether there is a linear relation between height and weight at the a = 0.05 level of significance. State the null and alternative hypotheses. Choose the correct answer below. O A. Ho: Po = 0 %3D H: Po > B. Ho: Bo = 0 H1: Bo #0 O C. Ho: B1 =0 H1: B, #0 O D. Ho: B1 = 0 H4: B1 >0 Determine the P-value for this hypothesis test. P-value = (Round to three decimal places as needed.) State the appropriate conclusion at the a = 0.05 level of significance. Choose the correct answer below. A. Do not reject Ho. There is sufficient evidence to conclude that a linear relation exists between the height and weight of baseball players. B. Do not reject Ho. There is not sufficient evidence to conclude that a linear relation exists between the height and weight of baseball players. C. Reject Ho: There is not sufficient evidence to conclude that a linear relation exists between the height and weight of baseball players. O D. Reject Ho. There is sufficient evidence to conclude that a linear relation exists between the height and weight of baseball players.
Players' heights and weights
Player
Height (inches) Weight (pounds)
Player 1
75
227
Player 2
75
197
Player 3
72
180
Player 4
82
231
Player 5
69
185
Player 6
74
190
Player 7
75
228
Player 8
71
200
Player 9
75
230
Print
Done
Transcribed Image Text:Players' heights and weights Player Height (inches) Weight (pounds) Player 1 75 227 Player 2 75 197 Player 3 72 180 Player 4 82 231 Player 5 69 185 Player 6 74 190 Player 7 75 228 Player 8 71 200 Player 9 75 230 Print Done
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