In 2016, 77% of American households owned at least one cell phone. A researcher believes this proportion has increased. A random sample of 125 households is obtained, and it is determined that 108 of them own at least one cell phone. At the  level of significance, test the researcher’s hypothesis. You may use StatCrunch   Set up the null and alternative hypotheses:       Is the test Left-tail Right-tail    Two-tailed Find , the sample proportion (use 3 decimal places):     You can assume that the sample size is not too big. Check the requirement that the sample size is big enough:       Calculate the test statistic using the formula or obtain it from StatCrunch (2 decimals):

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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In 2016, 77% of American households owned at least one cell phone. A researcher believes this proportion has increased. A random sample of 125 households is obtained, and it is determined that 108 of them own at least one cell phone. At the  level of significance, test the researcher’s hypothesis. You may use StatCrunch

 

  1. Set up the null and alternative hypotheses:

 

 

 

  1. Is the test Left-tail Right-tail    Two-tailed
  2. Find , the sample proportion (use 3 decimal places):

 

 

  1. You can assume that the sample size is not too big. Check the requirement that the sample size is big enough:

 

 

 

  1. Calculate the test statistic using the formula or obtain it from StatCrunch (2 decimals):

 

 

 

 

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