A researcher believes that children who attend elementary school in a rural setting have lower obesity rates thenchildren who attend elementary school in an urban setting. The researcher collects a random sample from eachpopulation and records the proportion of children in each sample who are clinically obese. The data issummarized in the table below. Assume that all conditions for proceeding with a two-sample test have beenmet.Using a 5% significance level, perform the appropriate hypothesis test.H0:________________________ Ha:_______________________p-value = ___________ Compare the p-value and Į:________________Decision:_________________________Conclusion:_______________________________________________________________________________________ **Solve the problem.**A researcher believes that children who attend elementary school in a rural setting have lower obesity rates than children who attend elementary school in an urban setting. The researcher collects a random sample from each population and records the proportion of children in each sample who are clinically obese. The data is summarized in the table below. Assume that all conditions for proceeding with a two-sample test have been met.| | Rural | Urban ||---------------|--------|--------|| Sample Size | n₁ = 95| n₂ = 100|| Obese Children| x₁ = 14| x₂ = 26 |Using a 5% significance level, perform the appropriate hypothesis test.- H₀: ______________________- Hₐ: ______________________- p-value = __________- Compare the p-value and α: ________________- Decision: ________________________- Conclusion: _________________________________________________________ _________________________________________________________ _________________________________________________________

Name: A researcher believes that children who attend elementary school in a
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Description: A researcher believes that children who attend elementary school in a rural setting have lower obesity rates thenchildren who attend elementary school in an urban setting. The researcher collects a random sample from eachpopulation and records the pr

The null hypothesis is, The alternative hypothesis is, Significance level: α=0.05 The sample proportions areThe pooled proportion or weighted estimate of p is, The value of test statistic is,The p-value of the hypothesis test is, Compare the p-value and α: Since the p-value less than the level of significance, so we reject the null hypothesis at specified significance level. Decision: Reject the null hypothesis Conclusion: There is sufficient evidence to support the claim that children who attend elementary school in a rural setting have lower obesity rates than children who attend elementary school in an urban setting.

Answered: A researcher believes that children who…

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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A researcher believes that children who attend elementary school in a rural setting have lower obesity rates then
children who attend elementary school in an urban setting. The researcher collects a random sample from each
population and records the proportion of children in each sample who are clinically obese. The data is
summarized in the table below. Assume that all conditions for proceeding with a two-sample test have been
met.
Using a 5% significance level, perform the appropriate hypothesis test.
H0:________________________ Ha:_______________________
p-value = ___________ Compare the p-value and Į:________________
Decision:_________________________
Conclusion:_______________________________________________________________________________________

**Solve the problem.**

A researcher believes that children who attend elementary school in a rural setting have lower obesity rates than children who attend elementary school in an urban setting. The researcher collects a random sample from each population and records the proportion of children in each sample who are clinically obese. The data is summarized in the table below. Assume that all conditions for proceeding with a two-sample test have been met.

| | Rural | Urban |
|---------------|--------|--------|
| Sample Size | n₁ = 95| n₂ = 100|
| Obese Children| x₁ = 14| x₂ = 26 |

Using a 5% significance level, perform the appropriate hypothesis test.

- H₀: ______________________
- Hₐ: ______________________

- p-value = __________
- Compare the p-value and α: ________________

- Decision: ________________________
- Conclusion: _________________________________________________________
_________________________________________________________
_________________________________________________________

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