Question
A random sample of n = 1,000 observations from a binomial population contained380successes. You wish to show that p <0.4. n = 1,000 and x
A random sample ofn= 1,000 observations from a binomial population contained380successes. You wish to show thatp<0.4.
n= 1,000 andx=380. You wish to show thatp<0.4.
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 ofz<1.645
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.
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