You wish to test the following claim ($\displaystyle {H}_{{a}}$) at a significance level of $\displaystyle \alpha={0.002}$.

      $\displaystyle {H}_{{o}}:{p}={0.67}$
      $\displaystyle {H}_{{a}}:{p}>{0.67}$

You obtain a sample of size $\displaystyle {n}={419}$ in which there are 300 successful observations. For this test, you should use the (cumulative) binomial distribution to obtain an exact p-value. (Do not use the normal distribution as an approximation for the binomial distribution.)

The p-value for this test is (assuming $\displaystyle {H}_{{o}}$ is true) the probability of observing...

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...