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. Which hypothesis is the claim? Alternative hypothesis Null 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. X₁ = 2.706 (Round to three decimal places as needed.) Which region below is the correct rejection region? OA. x²x² OB. -xx²x² c. x²x²² OD. x-xor²x² (c) Calculate the test statistic. x= 1.762 (Round to three decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. Fail to reject H, because the test statistic is not in the rejection region. (e) Interpret the decision in the context of the original claim. There enough evidence at the 10% level of significance to the claim that athlete injury results occur with a different frequency than expected. an athlete's injury result is independent of whether or not the athlete has stretched. athlete injury results are uniformly distributed. athlete injury results occur with the same frequency as expected. an athlete's injury result is dependent on whether or not the athlete has stretched. Athlete has Not stretched 29 (24.539) 188 (192.461) Result Injury No injury Stretched 22 (26.481) 212 (207.539)
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. Which hypothesis is the claim? Alternative hypothesis Null 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. X₁ = 2.706 (Round to three decimal places as needed.) Which region below is the correct rejection region? OA. x²x² OB. -xx²x² c. x²x²² OD. x-xor²x² (c) Calculate the test statistic. x= 1.762 (Round to three decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. Fail to reject H, because the test statistic is not in the rejection region. (e) Interpret the decision in the context of the original claim. There enough evidence at the 10% level of significance to the claim that athlete injury results occur with a different frequency than expected. an athlete's injury result is independent of whether or not the athlete has stretched. athlete injury results are uniformly distributed. athlete injury results occur with the same frequency as expected. an athlete's injury result is dependent on whether or not the athlete has stretched. Athlete has Not stretched 29 (24.539) 188 (192.461) Result Injury No injury Stretched 22 (26.481) 212 (207.539)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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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.
Which hypothesis is the claim?
Alternative hypothesis
Null 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.
X₁ = 2.706
(Round to three decimal places as needed.)
Which region below is the correct rejection region?
OA. x²x²
OB. -xx²x²
c. x²x²²
OD. x-xor²x²
(c) Calculate the test statistic.
x= 1.762
(Round to three decimal places as needed.)
(d) Decide whether to reject or fail to reject the null hypothesis.
Fail to reject H, because the test statistic is not in the rejection region.
(e) Interpret the decision in the context of the original claim.
There
enough evidence at the 10% level of significance to
the claim that
athlete injury results occur with a different frequency than expected.
an athlete's injury result is independent of whether or not the athlete has stretched.
athlete injury results are uniformly distributed.
athlete injury results occur with the same frequency as expected.
an athlete's injury result is dependent on whether or not the athlete has stretched.
Athlete has
Not stretched
29 (24.539)
188 (192.461)
Result
Injury
No injury
Stretched
22 (26.481)
212 (207.539)
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