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Students at a large university have four places to get lunch: the cafeteria, the hut, the taco wagon, or the pizza place. An article in the school newsletter states that 70% of students prefer to get lunch in the cafeteria and the other three options are preferred equally. To investigate this claim, a random sample of 150 students is selected. It is discovered that 118 prefer to eat in the cafeteria, 10 prefer the hut, 12 prefer the taco wagon, and 10 prefer the pizza place. Someone may want to know if these data provide convincing evidence that the distribution of lunch location preference differs from the claim in the article. What is the value of the chi-square test statistic and P-value?

Students at a large university have four places to get lunch: the cafeteria, the hut, the taco wagon, or the pizza place. An article in the school newsletter states that 70% of students prefer to get lunch in the cafeteria and the other three options are preferred equally. To investigate this claim, a random sample of 150 students is selected. It is discovered that 118 prefer to eat in the cafeteria, 10 prefer the hut, 12 prefer the taco wagon, and 10 prefer the pizza place. Someone may want to know if these data provide convincing evidence that the distribution of lunch location preference differs from the claim in the article. What is the value of the chi-square test statistic and P-value?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Students at a large university have four places to get lunch: the cafeteria, the hut, the taco wagon, or the pizza place. An article in the school newsletter states that 70% of students prefer to get lunch in the cafeteria and the other three options are preferred equally. To investigate this claim, a random sample of 150 students is selected. It is discovered that 118 prefer to eat in the cafeteria, 10 prefer the hut, 12 prefer the taco wagon, and 10 prefer the pizza place. Someone may want to know if these data provide convincing evidence that the distribution of lunch location preference differs from the claim in the article. What is the value of the chi-square test statistic and P-value? Find the chi-square table here. O x2 = 0.74, P-value is between 0.10 and 0.15 X = 0.74, P-value is greater than 0.25 x2 = 5.54, P-value is between 0.10 and 0.15 X = 5.54, P-value is between 0.20 and 0.25 O O O
Transcribed Image Text:Students at a large university have four places to get lunch: the cafeteria, the hut, the taco wagon, or the pizza place. An article in the school newsletter states that 70% of students prefer to get lunch in the cafeteria and the other three options are preferred equally. To investigate this claim, a random sample of 150 students is selected. It is discovered that 118 prefer to eat in the cafeteria, 10 prefer the hut, 12 prefer the taco wagon, and 10 prefer the pizza place. Someone may want to know if these data provide convincing evidence that the distribution of lunch location preference differs from the claim in the article. What is the value of the chi-square test statistic and P-value? Find the chi-square table here. O x2 = 0.74, P-value is between 0.10 and 0.15 X = 0.74, P-value is greater than 0.25 x2 = 5.54, P-value is between 0.10 and 0.15 X = 5.54, P-value is between 0.20 and 0.25 O O O
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