) Consider we are interested in determining if the proportion of individuals with a nonhereditary genetic mutation is less than 0.35. Suppose we collect a sample of 20 independent individuals. We will consider the following hypothesis, Ho:p = 0.35 HA:p < 0.35 with a rejection region of RR = p < 0.25. a) Is the sample size large enough for the normal approximation to be valid? Explain your reasoning. a) Calculate the type I error a. b) Calculate the type Il error B when p = .125.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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) Consider we are interested in determining if the proportion of individuals with a nonhereditary genetic mutation is
less than 0.35. Suppose we collect a sample of 20 independent individuals. We will consider the following hypothesis,
Ho:p = 0.35
HA:p < 0.35
with a rejection region of RR = p < 0.25.
a) Is the sample size large enough for the normal approximation to be valid? Explain your reasoning.
a) Calculate the type I error a.
b) Calculate the type Il error ß when p = .125.
Transcribed Image Text:) Consider we are interested in determining if the proportion of individuals with a nonhereditary genetic mutation is less than 0.35. Suppose we collect a sample of 20 independent individuals. We will consider the following hypothesis, Ho:p = 0.35 HA:p < 0.35 with a rejection region of RR = p < 0.25. a) Is the sample size large enough for the normal approximation to be valid? Explain your reasoning. a) Calculate the type I error a. b) Calculate the type Il error ß when p = .125.
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