MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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
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Step 1
Given,
The sample proportion is,
The null and alternative hypothesis is:
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Step 2
Calculate test statistic:
Under the null hypothesis, the test statistic for one sample proportion is,
Compute P-value:
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