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?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
icon
Related questions
icon
Concept explainers
Topic Video
Question

help

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 to0 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 - B when p=0.7.
(e) Find 1– 3 when p=0.6.
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 to0 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 - B when p=0.7. (e) Find 1– 3 when p=0.6.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL