"Each person in a large sample of German adolescents was asked to indicate which of s0 popular movies they had seen in the past year. Based on the response, the amount of time (in minutes) of alcohol use contained in the movies the person had watched was estimated. Each person was then classified into one of four groups based on the amount of movie alcohol exposure (groups 1, 2, 3, and 4, with 1 being the lowest exposure and 4 being the highest exposure). Each person was also classified according to school performance. The resulting data is given in the accompanying table. Alcohol Exposure Group 1 2 3 4 Excellent 95 51 66 School Performance 326 326 318 297 Good Average/Poor 239 258 314 318 Assume it is reasonable to regard this sample as a random sample of German adolescents. Is there evidence that there is an association between school performance and movie exposure to alcohol? Carry out a hypothesis test using a= 0.05. Calculate the test statistic. (Round your answer to two decimal places.) What is the P-value for the test? (Use technology to calculate the P-value. Round your answer to three decimal places.) Pvalue - What can you conclude? O Reject Ha. There is convincing evidence to conclude that the proportions falling into the alcohol exposure categories are not all the same for the three school performance groups. O Fail to reject H. There is not enough evidence to conclude that the proportions falling into the alcohol exposure categories are not all the same for the three school performance groups. • Reject H. There is convincing evidence to conclude that there is an association between alcohol exposure and school performance. O Fail to relect H.. There is not enounh evidence to con de that there is an a cociation between alcohol exnosure and school nerform

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Each person in a large sample of German adolescents was asked to indicate which of 50 popular movies they had seen in the past year. Based on the response, the amount of time (in minutes) of alcohol use contained in the movies the person had watched was estimated. Each person was then classified into one of four groups based on the amount of movie alcohol
exposure (groups 1, 2, 3, and 4, with 1 being the lowest exposure and 4 being the highest exposure). Each person was also classified according to school performance. The resulting data is given in the accompanying table.
Alcohol Exposure Group
1
2
3
4
Excellent
111
95
51
66
School
Good
328
326
318
297
Performance
Average/Poor
239
258
314
318
Assume it is reasonable to regard this sample as a random sample of German adolescents. Is there evidence that there is an association between school performance and movie exposure to alcohol? Carry out a hypothesis test using a = 0.05.
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 alcohol exposure categories are not all the same for the three school performance groups.
Fail to reject Ho: There is not enough evidence to conclude that the proportions falling into the alcohol exposure categories are not
the same for the three school performance groups.
O Reject H.. There is convincing evidence to conclude that there is an association between alcohol exposure and school performance.
O Fail to reject Ho. There is not enough evidence to conclude that there is an association between alcohol exposure and school performance.
Transcribed Image Text:...................... .. Each person in a large sample of German adolescents was asked to indicate which of 50 popular movies they had seen in the past year. Based on the response, the amount of time (in minutes) of alcohol use contained in the movies the person had watched was estimated. Each person was then classified into one of four groups based on the amount of movie alcohol exposure (groups 1, 2, 3, and 4, with 1 being the lowest exposure and 4 being the highest exposure). Each person was also classified according to school performance. The resulting data is given in the accompanying table. Alcohol Exposure Group 1 2 3 4 Excellent 111 95 51 66 School Good 328 326 318 297 Performance Average/Poor 239 258 314 318 Assume it is reasonable to regard this sample as a random sample of German adolescents. Is there evidence that there is an association between school performance and movie exposure to alcohol? Carry out a hypothesis test using a = 0.05. 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 alcohol exposure categories are not all the same for the three school performance groups. Fail to reject Ho: There is not enough evidence to conclude that the proportions falling into the alcohol exposure categories are not the same for the three school performance groups. O Reject H.. There is convincing evidence to conclude that there is an association between alcohol exposure and school performance. O Fail to reject Ho. There is not enough evidence to conclude that there is an association between alcohol exposure and school performance.
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