Use the provided contingency table and expected frequencies. At a = 0.10, test the hypothesis that the variables are independent. Complete parts (a) through (e) below. Result Injury 20 (24.524) No injury 186 (181.476) Stretched Athlete has Not stretched 30 (25.476) 184 (188.524) (a) Identify the claim and state Ho and Ha Ho: An athlete's injury result is independent of whether or not the athlete has stretched. Ha: An athlete's injury result is dependent on whether or not the athlete has stretched. Which hypothesis is the claim? Null hypothesis Alternative hypothesis (b) Determine the degrees of freedom, find the critical value, and identify the rejection region. Calculate the degrees of freedom. d.f. = 1 (Type a whole number.) Find the critical value. x6 =☐ (Round to three decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Use the provided contingency table and expected frequencies. At a = 0.10, test the hypothesis that the variables are independent. Complete
parts (a) through (e) below.
Result
Injury
20 (24.524)
No injury
186 (181.476)
Stretched
Athlete has
Not stretched
30 (25.476)
184 (188.524)
(a) Identify the claim and state Ho and Ha
Ho: An athlete's injury result is independent of whether or not the athlete has stretched.
Ha: An athlete's injury result is dependent on whether or not the athlete has stretched.
Which hypothesis is the claim?
Null hypothesis
Alternative hypothesis
(b) Determine the degrees of freedom, find the critical value, and identify the rejection region.
Calculate the degrees of freedom.
d.f. = 1
(Type a whole number.)
Find the critical value.
x6 =☐
(Round to three decimal places as needed.)
Transcribed Image Text:Use the provided contingency table and expected frequencies. At a = 0.10, test the hypothesis that the variables are independent. Complete parts (a) through (e) below. Result Injury 20 (24.524) No injury 186 (181.476) Stretched Athlete has Not stretched 30 (25.476) 184 (188.524) (a) Identify the claim and state Ho and Ha Ho: An athlete's injury result is independent of whether or not the athlete has stretched. Ha: An athlete's injury result is dependent on whether or not the athlete has stretched. Which hypothesis is the claim? Null hypothesis Alternative hypothesis (b) Determine the degrees of freedom, find the critical value, and identify the rejection region. Calculate the degrees of freedom. d.f. = 1 (Type a whole number.) Find the critical value. x6 =☐ (Round to three decimal places as needed.)
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