It has been reported that 60% of U.S. school lunches served are free or at a reduced price. A researcher believes that proportion is less than 60% in her town. A random sample of 300 children in a large metropolitan area indicated that 156 of them received lunch free or at a reduced price. Use a 0.05 level of significance. Given a p-value equal to 0.002, what is the correct conclusion? O We can conclude that the percentage of students who receive lunch at a reduced rate or free of charge is equal to the reported percentage of 60% in a large metropolitan area. O We cannot conclude that the percentage of students who receive lunch at a reduced rate or free of charge is less than the reported percentage of 60% in a large metropolitan area. O We can conclude that the percentage of students who receive lunch at a reduced rate or free of charge is less than the reported percentage of 60% in a large metropolitan area. O None of the given answers

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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It has been reported that 60% of U.S. school lunches served are free or at a reduced price. A researcher
believes that proportion is less than 60% in her town. A random sample of 300 children in a large
metropolitan area indicated that 156 of them received lunch free or at a reduced price. Use a 0.05 level of
significance.
Given a p-value equal to 0.002, what is the correct conclusion?
O We can conclude that the percentage of students who receive lunch at a reduced rate or free of charge is equal to the
reported percentage of 60% in a large metropolitan area.
O We cannot conclude that the percentage of students who receive lunch at a reduced rate or free of charge is less than
the reported percentage of 60% in a large metropolitan area.
O We can conclude that the percentage of students who receive lunch at a reduced rate or free of charge is less than the
reported percentage of 60% in a large metropolitan area.
O None of the given answers
Transcribed Image Text:It has been reported that 60% of U.S. school lunches served are free or at a reduced price. A researcher believes that proportion is less than 60% in her town. A random sample of 300 children in a large metropolitan area indicated that 156 of them received lunch free or at a reduced price. Use a 0.05 level of significance. Given a p-value equal to 0.002, what is the correct conclusion? O We can conclude that the percentage of students who receive lunch at a reduced rate or free of charge is equal to the reported percentage of 60% in a large metropolitan area. O We cannot conclude that the percentage of students who receive lunch at a reduced rate or free of charge is less than the reported percentage of 60% in a large metropolitan area. O We can conclude that the percentage of students who receive lunch at a reduced rate or free of charge is less than the reported percentage of 60% in a large metropolitan area. O None of the given answers
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