6. An experiment has been designed for an effective remedy for athlete's foot. A researcher claims that this new treatment will cure 75% of athlete's foot within a week. This claim has been challenged as too high. To disprove the claim of 75%, the experiment treats 30 people with this new remedy. Suppose we wish to test Ho : p = 0.75 versus Ha : p < 0.75 with a rejection region of Y < 19 where Y is the number of people whose athlete's foot is cured within a week. (a) In words explain, What is a Type I error in this problem? (b) Find a for this test. (c) In words explain, what is a Type II error in this problem? (d) Find 1 – 3 when p=0.7. (e) Find 1 - 8 when p=0.6.
6. An experiment has been designed for an effective remedy for athlete's foot. A researcher claims that this new treatment will cure 75% of athlete's foot within a week. This claim has been challenged as too high. To disprove the claim of 75%, the experiment treats 30 people with this new remedy. Suppose we wish to test Ho : p = 0.75 versus Ha : p < 0.75 with a rejection region of Y < 19 where Y is the number of people whose athlete's foot is cured within a week. (a) In words explain, What is a Type I error in this problem? (b) Find a for this test. (c) In words explain, what is a Type II error in this problem? (d) Find 1 – 3 when p=0.7. (e) Find 1 - 8 when p=0.6.
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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Transcribed Image Text:6. An experiment has been designed for an effective remedy for athlete's foot. A researcher claims
that this new treatment will cure 75% of athlete's foot within a week. This claim has been
challenged as too high. To disprove the claim of 75%, the experiment treats 30 people with
this new remedy. Suppose we wish to test Ho : p = 0.75 versus Ha : p < 0.75 with a rejection
region of Y < 19 where Y is the number of people whose athlete's foot is cured within a week.
(a) In words explain, What is a Type I error in this problem?
(b) Find a for this test.
(c) In words explain, what is a Type II error in this problem?
(d) Find 1– 3 when p=0.7.
(e) Find 1- 3 when p=0.6.
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