A random sample of n = 1,400 observations from a binomial population produced x = 665 successes. You wish to show that p differs from 0.5. USE SALT Calculate the appropriate test statistic. (Round your answer to two decimal places.) Calculate the p-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 the p-value approach at a = 0.05? Yes, both approaches produce the same conclusion. No, the p-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 the p-value approach fails to reject the null hypothesis. Should they? Yes No

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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A random sample of n = 1,400 observations from a binomial population produced x = 665 successes. You wish to show that p differs from 0.5.
USE SALT
Calculate the appropriate test statistic. (Round your answer to two decimal places.)
Calculate the p-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 the p-value approach at a = 0.05?
Yes, both approaches produce the same conclusion.
No, the p-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 the p-value approach fails to reject the null hypothesis.
Should they?
Yes
No
Transcribed Image Text:A random sample of n = 1,400 observations from a binomial population produced x = 665 successes. You wish to show that p differs from 0.5. USE SALT Calculate the appropriate test statistic. (Round your answer to two decimal places.) Calculate the p-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 the p-value approach at a = 0.05? Yes, both approaches produce the same conclusion. No, the p-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 the p-value approach fails to reject the null hypothesis. Should they? Yes No
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