From previous studies, it is concluded that 30% of people support the death penalty. A researcher claims that the proportion is significantly different than 30% and decides to survey 400 working adults. Test the researcher's claim at the α=0.01α=0.01 significance level.Preliminary:Is it safe to assume that n≤0.05n≤0.05 of all subjects in the population?NoYesVerify nˆp(1−ˆp)≥10.np^(1-p^)≥10. Round your answer to one decimal place.nˆp(1−ˆp)=np^(1-p^)= Test the claim:The null and alternative hypotheses are H0:p≤0.3H0:p≤0.3Ha:p>0.3Ha:p>0.3H0:μ=0.3H0:μ=0.3Ha:μ≠0.3Ha:μ≠0.3H0:μ≤0.3H0:μ≤0.3Ha:μ>0.3Ha:μ>0.3H0:p=0.3H0:p=0.3Ha:p≠0.3Ha:p≠0.3H0:μ≥0.3H0:μ≥0.3Ha:μ<0.3Ha:μ<0.3H0:p≥0.3H0:p≥0.3Ha:p<0.3Ha:p<0.3The test is Based on the sample of 400 people, 36% people support the death penalty. What is the test statistic? Round your answer to two decimal places. What is the pp-value? Round your answer to four decimal places. Make a decision.Do not reject the null hypothesis.Reject the null hypothesis.Make a conclusion.There is sufficient evidence that the proportion of people who people support the death penalty is significantly different than 30% at the α=0.01α=0.01 significance level.There is not sufficient evidence that the proportion of people who people support the death penalty is significantly different than 30% at the α=0.01α=0.01 significance level.

Given information p=30%, n=400 , level of significance ɑ=0.01 Note: According to Bartleby…

Answered: From previous studies, it is concluded…

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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Question

From previous studies, it is concluded that 30% of people support the death penalty. A researcher claims that the proportion is significantly different than 30% and decides to survey 400 working adults. Test the researcher's claim at the α=0.01α=0.01 significance level.

Preliminary:

Is it safe to assume that n≤0.05n≤0.05 of all subjects in the population?
- No
- Yes
Verify nˆp(1−ˆp)≥10.np^(1-p^)≥10. Round your answer to one decimal place.

nˆp(1−ˆp)=np^(1-p^)=

Test the claim:

The null and alternative hypotheses are
- H0:p≤0.3H0:p≤0.3
  Ha:p>0.3Ha:p>0.3
- H0:μ=0.3H0:μ=0.3
  Ha:μ≠0.3Ha:μ≠0.3
- H0:μ≤0.3H0:μ≤0.3
  Ha:μ>0.3Ha:μ>0.3
- H0:p=0.3H0:p=0.3
  Ha:p≠0.3Ha:p≠0.3
- H0:μ≥0.3H0:μ≥0.3
  Ha:μ<0.3Ha:μ<0.3
- H0:p≥0.3H0:p≥0.3
  Ha:p<0.3Ha:p<0.3
The test is
Based on the sample of 400 people, 36% people support the death penalty. What is the test statistic? Round your answer to two decimal places.
What is the pp-value? Round your answer to four decimal places.
Make a decision.
- Do not reject the null hypothesis.
- Reject the null hypothesis.
Make a conclusion.
- There is sufficient evidence that the proportion of people who people support the death penalty is significantly different than 30% at the α=0.01α=0.01 significance level.
- There is not sufficient evidence that the proportion of people who people support the death penalty is significantly different than 30% at the α=0.01α=0.01 significance level.