A random sample ofn=1,400observations from a binomial population producedx=667successes. You wish to show thatpdiffers from0.5.

Calculate the appropriate test statistic. (Round your answer to two decimal places.)

z=

Calculate thep-value. (Round your answer to four decimal places.)

p-value =

Do the conclusions based on a fixed rejection region of|z| > 1.96

agree with those found using thep-value approach at= 0.05?

Yes, both approaches produce the same conclusion.

No, thep-value approach rejects the null hypothesis when the fixed rejection region approach fails to reject the null hypothesis.

No, the fixed rejection region approach rejects the null hypothesis when thep-value approach fails to reject the null hypothesis.

Should they?

Yes

No

You may need to use the appropriateappendix tableto answer this question.