You are conducting a study to see if the accuracy rate for fingerprint identification is significantly less than 0.73. You use a significance level of α=0.002\displaystyle \alpha={0.002}.

      H0:p=0.73\displaystyle {H}_{{0}}:{p}={0.73}
      H1:p<0.73\displaystyle {H}_{{1}}:{p}<{0.73}

You obtain a sample of size n=681\displaystyle {n}={681} in which there are 476 successes.

What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =

What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =

The p-value is...


This test statistic leads to a decision to...


As such, the final conclusion is that...