The contingency table shows the results of a random sample of patients with pain from musculoskeletal injuries treated with acetaminophen or ibuprofen. At a = 0.10, can you conclude that the treatment is related to the result? Complete parts (a) through (e) below. (a) Identify the claim and state Ho and Ha. Ho: The result is independent of the type of treatment. H₂: The result is dependent on the type of treatment. Which hypothesis is the claim? 1 (b) Determine the degrees of freedom, find the critical value, and identify the rejection region. Calculate the degrees of freedom. Null hypothesis Alternative hypothesis d.f. - (Type a whole number.) Find the critical value. x3 = (Round to three decimal places as needed.) Which region below is the correct rejection region? TA. x² >x² (B. x²s-x orx²2x² c. x² < x² OD. -x5x²5x² (c) Calculate the test statistic. ²1- Round to three decimal places as needed.) d) Decide whether reject or fail to reject the null hypothesis. Ho because the test statistic e) Interpret the decision in the context of the original claim. F here je In the rejection region. nt enough evidence at the 1% level of significance to r t the claim that Result Significant improvement Slight improvement Acetaminophen Ibuprofen 85 54 41 the result is independent of the type of treatment. the results are uniformly distributed. the result is dependent on the type of treatment. Treatment the results occur with a different frequency than expected. the results occur with the same frequency as expected. 20

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Treatment
Result
Acetaminophen
Ibuprofen
The contingency table shows the results of a random sample of patients with pain from musculoskeletal injuries
treated with acetaminophen or ibuprofen. At a = 0.10, can you conclude that the treatment is related to the result?
Complete parts (a) through (e) below.
Significant
improvement
54
85
Slight
improvement
41
20
....
(a) Identify the claim and state Ho and Ha
Họ: The result is independent of the type of treatment.
H: The result is dependent on the type of treatment.
Which hypothesis is the claim?
O Null hypothesis
Y Alternative hypothesis
(b) Determine the degrees of freedom, find the critical value, and identify the rejection region.
Calculate the degrees of freedom.
d.f. -0
(Type a whole number.)
Find the critical value.
(Round to three decimal places as needed.)
Which region below is the correct rejection region?
( B. xs-x3 or y2zx3
OD. -xổ sx? sx3
the result is independent of the type of treatment.
(c) Calculate the test statistic.
the result is dependent on the type of treatment.
2 = 1- --
"Round to three decimal places as needed.)
the results occur with a different frequency than expected.
d) Decide whether to reject or fail to reject the null hypothesis.
the results are uniformly distributed.
Họ because the test statistic je in the rejection region.
the results occur with the same frequency as expected.
e) Interpret the decision in the context of the original claim.
here
nt enough evidence at the 1% level of significance tor
t the claim that
Transcribed Image Text:Treatment Result Acetaminophen Ibuprofen The contingency table shows the results of a random sample of patients with pain from musculoskeletal injuries treated with acetaminophen or ibuprofen. At a = 0.10, can you conclude that the treatment is related to the result? Complete parts (a) through (e) below. Significant improvement 54 85 Slight improvement 41 20 .... (a) Identify the claim and state Ho and Ha Họ: The result is independent of the type of treatment. H: The result is dependent on the type of treatment. Which hypothesis is the claim? O Null hypothesis Y Alternative hypothesis (b) Determine the degrees of freedom, find the critical value, and identify the rejection region. Calculate the degrees of freedom. d.f. -0 (Type a whole number.) Find the critical value. (Round to three decimal places as needed.) Which region below is the correct rejection region? ( B. xs-x3 or y2zx3 OD. -xổ sx? sx3 the result is independent of the type of treatment. (c) Calculate the test statistic. the result is dependent on the type of treatment. 2 = 1- -- "Round to three decimal places as needed.) the results occur with a different frequency than expected. d) Decide whether to reject or fail to reject the null hypothesis. the results are uniformly distributed. Họ because the test statistic je in the rejection region. the results occur with the same frequency as expected. e) Interpret the decision in the context of the original claim. here nt enough evidence at the 1% level of significance tor t the claim that
Use the contingency table to the right to calculate the marginal frequencies and find the
expected frequency for each cell in the contingency table. Assume that the variables are
independent.
Athlete has
Result
Injury
No injury
Stretched
21
Not stretched
22
218
190
(a) Calculate the marginal frequencies and sample size.
Athlete has
Result
Stretched
Not stretched
Total
Injury
21
22
43
No injury
218
190
408
Total
239
212
451
(b) Find the expected frequency for each cell in the contingency table.
Athlete has
Not stretched
Result
Stretched
Injury
No injury
(Round to two decimal places as needed.)
Transcribed Image Text:Use the contingency table to the right to calculate the marginal frequencies and find the expected frequency for each cell in the contingency table. Assume that the variables are independent. Athlete has Result Injury No injury Stretched 21 Not stretched 22 218 190 (a) Calculate the marginal frequencies and sample size. Athlete has Result Stretched Not stretched Total Injury 21 22 43 No injury 218 190 408 Total 239 212 451 (b) Find the expected frequency for each cell in the contingency table. Athlete has Not stretched Result Stretched Injury No injury (Round to two decimal places as needed.)
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