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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

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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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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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