An panelist on a morning news program recently claimed that 58% of drivers routinely drive while distracted by their smartphones. A statistician happened to be watching this program, and decided to conduct a hypothesis test at the α=0.05α=0.05 level of significance to determine if this is accurate.  (Round your results to three decimal places) Which would be correct hypotheses for this test? H0:p=0.58H0:p=0.58, H1:p<0.58H1:p<0.58 H0:p=0.58H0:p=0.58, H1:p>0.58H1:p>0.58 H0:p=0.58H0:p=0.58, H1:p≠0.58H1:p≠0.58 H0:p≠0.58H0:p≠0.58, H1:p=0.58H1:p=0.58 H0:p<0.58H0:p<0.58, H1:p=0.58H1:p=0.58

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An panelist on a morning news program recently claimed that 58% of drivers routinely drive while distracted by their smartphones. A statistician happened to be watching this program, and decided to conduct a hypothesis test at the α=0.05α=0.05 level of significance to determine if this is accurate.  (Round your results to three decimal places)

Which would be correct hypotheses for this test?

  • H0:p=0.58H0:p=0.58, H1:p<0.58H1:p<0.58
  • H0:p=0.58H0:p=0.58, H1:p>0.58H1:p>0.58
  • H0:p=0.58H0:p=0.58, H1:p≠0.58H1:p≠0.58
  • H0:p≠0.58H0:p≠0.58, H1:p=0.58H1:p=0.58
  • H0:p<0.58H0:p<0.58, H1:p=0.58H1:p=0.58



A random sample of 136 drivers resulted in 67 that routinely drive while distracted by their smartphones.  

Find the test statistic (2 decimals):



Give the P-value (4 decimals):

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