The authors of a paper classified characters who were depicted smoking in movies released between a certain range of years. The smoking characters were classified according to sex and whether the character type was positive, negative, or neutral. The resulting data are summarized in the accompanying table. Assume that it is reasonable to consider this sample of smoking movie characters as representative of smoking movie characters. Do the data provide evidence of an association between sex and character type for movie characters who smoke? Use a = 0.05. Character Type Sex Positive Negative Neutral Male 256 107 132 Female 51 85 13 Calculate the test statistic. (Round your answer to two decimal places.) What is the Pvalue for the test? (Use technology to calculate the Prvalue. Round your answer to three decimal places.) P-value = What can you conclude? O Reject Hg. There is convincing evidence to conclude that the proportions falling into the character type categories are not all the same for the two gender groups. O Reject Hg- There is convincing evidence to conclude that there is an association between sex and character type for movie characters who smoke. O Fail to reject Hg. There is not enough evidence to conclude that there is an association between sex and character type for movie characters who smoke. O Fail to reject Hg. There is not enough evidence to conclude that the proportions falling into the character type categories are not all the same for the two gender groups.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
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The authors of a paper classified characters who were depicted smoking in movies released between a certain range of years. The smoking characters were classified according to sex and whether the character type was positive, negative, or neutral. The resulting data are summarized in the accompanying table.
Assume that it is reasonable to consider this sample of smoking movie characters as representative of smoking movie characters. Do the data provide evidence of an association between sex and character type for movie characters who smoke? Use a = 0.05.
Character Type
Sex
Positive
Negative
Neutral
Male
256
107
132
Female
85
13
51
Calculate the test statistic. (Round your answer to two decimal places.)
x2 =
What is the P-value for the test? (Use technology to calculate the P-value. Round your answer to three decimal places.)
p-value =
What can you conclude?
O Reject Ho: There is convincing evidence to conclude that the proportions falling into the character type categories are not all the same for the two gender groups.
O Reject H.. There is convincing evidence to conclude that there is an association between sex and character type for movie characters who smoke.
O Fail to reject H.. There is not enough evidence to conclude that there is an association between sex and character type for movie characters who smoke.
O Fail to reject Ho. There is not enough evidence to conclude that the proportions falling into the character type categories are not all the same for the two gender groups.
Transcribed Image Text:The authors of a paper classified characters who were depicted smoking in movies released between a certain range of years. The smoking characters were classified according to sex and whether the character type was positive, negative, or neutral. The resulting data are summarized in the accompanying table. Assume that it is reasonable to consider this sample of smoking movie characters as representative of smoking movie characters. Do the data provide evidence of an association between sex and character type for movie characters who smoke? Use a = 0.05. Character Type Sex Positive Negative Neutral Male 256 107 132 Female 85 13 51 Calculate the test statistic. (Round your answer to two decimal places.) x2 = What is the P-value for the test? (Use technology to calculate the P-value. Round your answer to three decimal places.) p-value = What can you conclude? O Reject Ho: There is convincing evidence to conclude that the proportions falling into the character type categories are not all the same for the two gender groups. O Reject H.. There is convincing evidence to conclude that there is an association between sex and character type for movie characters who smoke. O Fail to reject H.. There is not enough evidence to conclude that there is an association between sex and character type for movie characters who smoke. O Fail to reject Ho. There is not enough evidence to conclude that the proportions falling into the character type categories are not all the same for the two gender groups.
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