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Name: In a 2005 study 2205 adolescents aged 12 - 19 years old were give a tr
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Description: In a 2005 study 2205 adolescents aged 12 - 19 years old were give a treadmill test to check their cardiovascular health. 750 of the subjects were determined to have poor cardiovascular fitness. The researchers want to claim that more than 30% of adol

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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In a 2005 study 2205 adolescents aged 12 - 19 years old were give a treadmill test to check their cardiovascular health. 750 of the subjects were determined to have poor cardiovascular fitness. The researchers want to claim that more than 30% of adolescents have poor cardiovascular health (with a 5% level of significance). The research hypothesis is Ha : p > 0.30. Complete the test by computing the test statistic, the p-value, and stating your conclusions.

Expert Solution

Step 1

Given,

The sample proportion is,

The null and alternative hypothesis is:

Step 2

Calculate test statistic:

Under the null hypothesis, the test statistic for one sample proportion is,

Compute P-value:

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