You are conducting a study to see if the proportion of men over 50 who regularly have their prostate examined is significantly different from 0.75. You use a significance level of α=0.02\displaystyle \alpha={0.02}.

      H0:p=0.75\displaystyle {H}_{{0}}:{p}={0.75}
      H1:p0.75\displaystyle {H}_{{1}}:{p}\ne{0.75}

You obtain a sample of size n=435\displaystyle {n}={435} in which there are 299 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...