ANSWER THE FOLLOWING PROBLEMS SHOWING COMPLETE SOLUTION ENCLOSE FINAL ANSWER THANK YOU! topic TESTS OF HYPOTHESES FOR A SINGLE SAMPLE

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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ANSWER THE FOLLOWING PROBLEMS SHOWING COMPLETE SOLUTION ENCLOSE FINAL ANSWER THANK YOU!

topic TESTS OF HYPOTHESES FOR A SINGLE SAMPLE
 

A fabric manufacturer believes that the propor-
tion of orders for raw material arriving late is p = 0.6.

If a random sample of 10 orders shows that 3 or fewer
arrived late, the hypothesis that p = 0.6 should be
rejected in favor of the alternative p < 0.6. Use the
binomial distribution.

(a) Find the probability of committing a type I error
if the true proportion is p = 0.6.

(b) Find the probability of committing a type II error
for the alternatives p = 0.3, p = 0.4, and p = 0.5.

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