Step 2 of 3 : Compute the value of the test statistic. Round your
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
Sleep apnea is a condition in which the sufferers stop breathing momentarily while they are asleep. This condition results in lack of sleep and extreme fatigue during waking hours. A current estimate is that 9.79.7 million out of the 312.7312.7 million Americans suffer from sleep apnea, or approximately 3.1%3.1%. A safety commission is concerned about the percentage of commercial truck drivers who suffer from sleep apnea. They do not have any reason to believe that it would be higher or lower than the population’s percentage. To test the claim that the percentage of commercial truck drivers who suffer from sleep apnea is not 3.1%3.1%, a simple random sample of 406406 commercial truck drivers is examined by a medical expert, who concludes that 55 suffer from sleep apnea. Does this evidence support the claim that the percentage of commercial truck drivers who suffer from sleep apnea is not 3.1%3.1%? Use a 0.050.05 level of significance.
Step 2 of 3 :
Compute the value of the test statistic. Round your answer to two decimal places.
Expert Solution
Step 1: Given information
claim : the percentage of commercial truck drivers who suffer from sleep apnea is not 3.1%
simple random sample of 406 commercial truck drivers is examined by a medical expert, who concludes that 55 suffer from sleep apnea.
n = 406
X = 55
Sample proportion = 0.1355
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