Solve the problem and show complete solution:  A researcher claims that 75% of college students would rather spend their extra money for cellphone loads than cigarettes. Another researcher would like to verify this claim. She randomly selected 400 college students. Two hundred ninety-six of these 400 students said that they would rather spend their extra money on cell phone loads than cigarettes. At 0.05 level of confidence, is there enough evidence to conclude that the percentage of students who would rather spend their extra money for cell phone loads than cigarettes is different from 75%?

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
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Solve the problem and show complete solution: 

A researcher claims that 75% of college students would rather spend their extra money for cellphone loads than cigarettes. Another researcher would like to verify this claim. She randomly selected 400 college students. Two hundred ninety-six of these 400 students said that they would rather spend
their extra money on cell phone loads than cigarettes. At 0.05 level of confidence, is there enough evidence to conclude that the percentage of students who would rather spend their extra money for cell
phone loads than cigarettes is different from 75%?

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