Seventy-three successes were observed in a random sample of n = 120 observations from a binomial population. You wish to show that p > 0.5 USE SALT Calculate the appropriate test statistic. (Round your answer to two decimal places.) Z= Calculate the p-value. (Round your answer to four decimal places.) p-value = Do the conclusions based on a fixed rejection region of z> 1.645 agree with those found using the p-value approach at a = 0.05? O Yes, both approaches produce the same conclusion. O No, the p-value approach rejects the null hypothesis when the fixed rejection region approach fails to reject the null hypothesis. O No, the fixed rejection region approach rejects the null hypothesis when the p-value approach fails to reject the null hypothesis. Should they? O Yes O No
Seventy-three successes were observed in a random sample of n = 120 observations from a binomial population. You wish to show that p > 0.5 USE SALT Calculate the appropriate test statistic. (Round your answer to two decimal places.) Z= Calculate the p-value. (Round your answer to four decimal places.) p-value = Do the conclusions based on a fixed rejection region of z> 1.645 agree with those found using the p-value approach at a = 0.05? O Yes, both approaches produce the same conclusion. O No, the p-value approach rejects the null hypothesis when the fixed rejection region approach fails to reject the null hypothesis. O No, the fixed rejection region approach rejects the null hypothesis when the p-value approach fails to reject the null hypothesis. Should they? O Yes O No
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![Seventy-three successes were observed in a random sample of \( n = 120 \) observations from a binomial population. You wish to show that \( p > 0.5 \).
**Calculate the appropriate test statistic. (Round your answer to two decimal places.)**
\( z = \) [Textbox]
**Calculate the \( p \)-value. (Round your answer to four decimal places.)**
\( p \)-value = [Textbox]
**Do the conclusions based on a fixed rejection region of \( z > 1.645 \) agree with those found using the \( p \)-value approach at \( \alpha = 0.05 \)?**
- ( ) 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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9175f245-2e1a-4def-805b-da74e3897838%2F50a8ed54-bc87-440b-9ecd-52ad49a23cd2%2Fyf05s3_processed.png&w=3840&q=75)
Transcribed Image Text:Seventy-three successes were observed in a random sample of \( n = 120 \) observations from a binomial population. You wish to show that \( p > 0.5 \).
**Calculate the appropriate test statistic. (Round your answer to two decimal places.)**
\( z = \) [Textbox]
**Calculate the \( p \)-value. (Round your answer to four decimal places.)**
\( p \)-value = [Textbox]
**Do the conclusions based on a fixed rejection region of \( z > 1.645 \) agree with those found using the \( p \)-value approach at \( \alpha = 0.05 \)?**
- ( ) 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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