A species of fish can be born with either blue fins or green fins. It is thought by researchers that 23% of these fish at any given time have blue fins. However, a newer research doubts this finding, and think that the percentage of fish with blue fins is higher. He wants to do a test at a 10% significance level, so he collects a sample of 200 fish, and 53 are found to have blue fins.  What is the probability that this researcher has committed a Type I error?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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A species of fish can be born with either blue fins or green fins. It is thought by researchers that 23% of these fish at any given time have blue fins. However, a newer research doubts this finding, and think that the percentage of fish with blue fins is higher. He wants to do a test at a 10% significance level, so he collects a sample of 200 fish, and 53 are found to have blue fins. 

What is the probability that this researcher has committed a Type I error?

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