In a recent survey conducted, a random sample of adults 18 years of age or older living in a certain country were asked their reaction to the word socialism. In addition, the individuals were asked to disclose which political party they most associate with. Results of the survey are given in the table. Complete parts (a) through (c) below. Democrats Independents Republicans D Positive 237 61 146 Negative 284 371 408 (a) Does the evidence suggest individuals within each political affiliation react differently the word "socialism"? Use the a = 0.05 level of significance. State the hypotheses. O A. Ho: Op = Ep and OR = ER and O = E H: At least one mean is different from what expected. O B. Ho: Pp =PR = PI H,: At least one of the proportions different from the others. OC. Ho: Political party and reaction are independent. H: Political party and reaction are dependent. O D. Ho: Political party and reaction are dependent. H: Political party and reaction are independent. Compute the P-value. The P-value is . (Round to three decimal places as needed.) Make the proper conclusion. Choose the correct answer below. O A. Yes, there is evidence because the P-value is less than a. O B. No, there is no evidence because the P-value is less than a. OC. Yes, there is evidence because the P-value is greater than a. O D. No, there is no evidence because the P-value greater than a

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
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In a recent survey conducted, a random sample of adults 18 years of age or older living in a certain country were asked their reaction to the word socialism. In addition, the individuals were asked to disclose which political party they most
associate with. Results of the survey are given in the table. Complete parts (a) through (c) below.
Democrats Independents Republicans O
Positive
237
61
146
Negative
284
371
408
(a) Does the evidence suggest individuals within each political affiliation react differently to the word "socialism"? Use the a = 0.05 level of significance.
State the hypotheses.
O A. Ho: OD = ED and OR = ER and O = E,
%3D
H1: At least one mean is different from what is expected.
O B. Ho: PD = PR = PI
H4: At least one of the proportions is different from the others.
O C. Ho: Political party and reaction are independent.
H1: Political party and reaction are dependent.
D. Ho: Political party and reaction are dependent.
H1: Political party and reaction are independent.
Compute the P-value.
The P-value is
|: (Round to three decimal places as needed.)
Make the proper conclusion. Choose the correct answer below.
A. Yes, there is evidence because the P-value is less than a.
B. No, there is no evidence because the P-value is less than a.
C. Yes, there is evidence because the P-value is greater than a.
D. No, there is no evidence because the P-value is greater than a.
Transcribed Image Text:In a recent survey conducted, a random sample of adults 18 years of age or older living in a certain country were asked their reaction to the word socialism. In addition, the individuals were asked to disclose which political party they most associate with. Results of the survey are given in the table. Complete parts (a) through (c) below. Democrats Independents Republicans O Positive 237 61 146 Negative 284 371 408 (a) Does the evidence suggest individuals within each political affiliation react differently to the word "socialism"? Use the a = 0.05 level of significance. State the hypotheses. O A. Ho: OD = ED and OR = ER and O = E, %3D H1: At least one mean is different from what is expected. O B. Ho: PD = PR = PI H4: At least one of the proportions is different from the others. O C. Ho: Political party and reaction are independent. H1: Political party and reaction are dependent. D. Ho: Political party and reaction are dependent. H1: Political party and reaction are independent. Compute the P-value. The P-value is |: (Round to three decimal places as needed.) Make the proper conclusion. Choose the correct answer below. A. Yes, there is evidence because the P-value is less than a. B. No, there is no evidence because the P-value is less than a. C. Yes, there is evidence because the P-value is greater than a. D. No, there is no evidence because the P-value is greater than a.
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