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A Gallup poll report revealed that 72% of teens said they seldom or never argue with their friends. Yvonne wonders whether this result holds true in her large high school, so she surveys a random sample of 150 students at her school. We want to test Ho: p = 0.72 Ha:p 0.72 where p = the true proportion of teens in Yvonne's school who rarely or never argue with their friends. Yvonne finds that 96 of the 150 students (64%) say they rarely or never argue with friends. A significance test yields a P-value of 0.0291. Interpret the P-value The probability that the null hypothesis is true is 0.0101. Assuming the true proportion of teens in Yvonne's school who rarely or never argue with their friends is 0.72, there is a 0.0291 probability of getting a sample proportion no greater than 0.64 just by chance in a random sample of 150 students from her school. Assuming the true proportion of teens in Yvonne's school who rarely or never argue with their friends is 0.72, there is a 0.0291 probability of getting a sample proportion of 0.64 just by chance in a random sample of 150 students from her school. The probability that the alternative hypothesis is true is 0.0101. Assuming the true proportion of teens in Yvonne's school who rarely or never argue with their friends is 0.72, there is a 0.0291 probability of getting a sample proportion at least as far from 0.72 as 0.64 (in either direction) just by chance in a random sample of 150 students from her school.

A Gallup poll report revealed that 72% of teens said they seldom or never argue with their friends. Yvonne wonders whether this result holds true in her large high school, so she surveys a random sample of 150 students at her school. We want to test Ho: p = 0.72 Ha:p 0.72 where p = the true proportion of teens in Yvonne's school who rarely or never argue with their friends. Yvonne finds that 96 of the 150 students (64%) say they rarely or never argue with friends. A significance test yields a P-value of 0.0291. Interpret the P-value The probability that the null hypothesis is true is 0.0101. Assuming the true proportion of teens in Yvonne's school who rarely or never argue with their friends is 0.72, there is a 0.0291 probability of getting a sample proportion no greater than 0.64 just by chance in a random sample of 150 students from her school. Assuming the true proportion of teens in Yvonne's school who rarely or never argue with their friends is 0.72, there is a 0.0291 probability of getting a sample proportion of 0.64 just by chance in a random sample of 150 students from her school. The probability that the alternative hypothesis is true is 0.0101. Assuming the true proportion of teens in Yvonne's school who rarely or never argue with their friends is 0.72, there is a 0.0291 probability of getting a sample proportion at least as far from 0.72 as 0.64 (in either direction) just by chance in a random sample of 150 students from her school.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A Gallup poll report revealed that 72% of teens said they seldom or never argue with their friends. Yvonne wonders whether this result holds true in her large high school, so she surveys a random sample of 150 students at her school. We want to test Ho: p = 0.72 Ha:p # 0.72 where P = the true proportion of teens in Yvonne's school who rarely or never argue with their friends. Yvonne finds that 96 of the 150 students (64%) say they rarely or never argue with friends. A significance test yields a P-value of 0.0291. Interpret the P-value The probability that the null hypothesis is true is 0.0101. Assuming the true proportion of teens in Yvonne's school who rarely or never argue with their friends is 0.72, there is a 0.0291 probability of getting a sample proportion no greater than 0.64 just by chance in a random sample of 150 students from her school. Assuming the true proportion of teens in Yvonne's school who rarely or never argue with their friends is 0.72, there is a 0.0291 probability of getting a sample proportion of 0.64 just by chance in a random sample of 150 students from her school. The probability that the alternative hypothesis is true is 0.0101. Assuming the true proportion of teens in Yvonne's school who rarely or never argue with their friends is 0.72, there is a 0.0291 probability of getting a sample proportion at least as far from 0.72 as 0.64 (in either direction) just by chance in a random sample of 150 students from her school.
Transcribed Image Text:A Gallup poll report revealed that 72% of teens said they seldom or never argue with their friends. Yvonne wonders whether this result holds true in her large high school, so she surveys a random sample of 150 students at her school. We want to test Ho: p = 0.72 Ha:p # 0.72 where P = the true proportion of teens in Yvonne's school who rarely or never argue with their friends. Yvonne finds that 96 of the 150 students (64%) say they rarely or never argue with friends. A significance test yields a P-value of 0.0291. Interpret the P-value The probability that the null hypothesis is true is 0.0101. Assuming the true proportion of teens in Yvonne's school who rarely or never argue with their friends is 0.72, there is a 0.0291 probability of getting a sample proportion no greater than 0.64 just by chance in a random sample of 150 students from her school. Assuming the true proportion of teens in Yvonne's school who rarely or never argue with their friends is 0.72, there is a 0.0291 probability of getting a sample proportion of 0.64 just by chance in a random sample of 150 students from her school. The probability that the alternative hypothesis is true is 0.0101. Assuming the true proportion of teens in Yvonne's school who rarely or never argue with their friends is 0.72, there is a 0.0291 probability of getting a sample proportion at least as far from 0.72 as 0.64 (in either direction) just by chance in a random sample of 150 students from her school.
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